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Recent questions in Probability
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Random variables,
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Sheldon Ross, Chapter #4, Question #13
An airline operates a flight having 50 seats. As they expect some passenger to not show up, they overbook the flight by selling 51 tickets. The probability that an individual passenger will not show up is 0.01, independent of all other ... the airline has to pay a compensation of Rs.1lakh to that passenger. What is the expected revenue of the airline?
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May 21
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Probability
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Asim Siddiqui 4
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809
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probability
randomvariable
sheldonross
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1
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2
ISI2018MMA20
Consider the set of all functions from $\{1, 2, . . . ,m\}$ to $\{1, 2, . . . , n\}$,where $n > m$. If a function is chosen from this set at random, the probability that it will be strictly increasing is $\binom{n}{m}/n^m\\$ $\binom{n}{m}/m^n\\$ $\binom{m+n1}{m1}/n^m\\$ $\binom{m+n1}{m}/m^n$
asked
May 11
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Probability
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akash.dinkar12
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22
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isi2018
engineeringmathematics
probability
0
votes
1
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3
ISI2018MMA18
Let $A_1 = (0, 0), A_2 = (1, 0), A_3 = (1, 1)\ $and$\ A_4 = (0, 1)$ be the four vertices of a square. A particle starts from the point $A_1$ at time $0$ and moves either to $A_2$ or to $A_4$ with equal probability. Similarly, in each of the subsequent ... $T$ be the minimum number of steps required to cover all four vertices. The probability $P(T = 4)$ is $0$ $1/16$ $1/8$ $1/4$
asked
May 11
in
Probability
by
akash.dinkar12
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40.5k
points)

18
views
isi2018
engineeringmathematics
probability
0
votes
1
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4
ISI2018MMA17
There are eight coins, seven of which have the same weight and the other one weighs more. In order to find the coin having more weight, a person randomly chooses two coins and puts one coin on each side of a common balance. If these two coins are found to have the same ... as before. The probability that the coin will be identified at the second draw is $1/2$ $1/3$ $1/4$ $1/6$
asked
May 11
in
Probability
by
akash.dinkar12
Boss
(
40.5k
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22
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isi2018
engineeringmathematics
probability
0
votes
1
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5
ISI2018MMA16
Consider a large village, where only two newspapers $P_1$ and $P_2$ are available to the families. It is known that the proportion of families not taking $P_1$ is $0.48$, not taking $P_2$ is $0.58$, taking only $P_2$ is $0.30$. The probability that a randomly chosen family from the village takes only $P_1$ is $0.24$ $0.28$ $0.40$ can not be determined
asked
May 11
in
Probability
by
akash.dinkar12
Boss
(
40.5k
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34
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isi2018
engineeringmathematics
probability
0
votes
2
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6
ISI2019MMA22
A coin with probability $p (0 < p < 1)$ of getting head, is tossed until a head appears for the first time. If the probability that the number of tosses required is even is $2/5$, then the value of $p$ is $2/7$ $1/3$ $5/7$ $2/3$
asked
May 7
in
Probability
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Sayan Bose
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6.9k
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100
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isi2019
probability
0
votes
1
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7
ISI2019MMA10
The chance of a student getting admitted to colleges $A$ and $B$ are $60\%$ and $40\%$, respectively. Assume that the colleges admit students independently. If the student is told that he has been admitted to at least one of these colleges, what is the probability that he has got admitted to college $A$? $3/5$ $5/7$ $10/13$ $15/19$
asked
May 6
in
Probability
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Sayan Bose
Loyal
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6.9k
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108
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isi2019
engineeringmathematics
discretemathematics
probability
0
votes
2
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8
Gate 2018: Probability
In a box, there are $2$ red, $3$ black and $4$ blue coloured balls. The probability of drawing $2$ blue balls in sequence without replacing, and then drawing $1$ black ball from this box is _________ %.
asked
May 1
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Probability
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akash.dinkar12
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40.5k
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104
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gate2018
probability
normal
0
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0
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9
Probability of error detection
A block of bits with n rows and m columns uses horizontal and vertical parity bits for error detection. If exactly 4 bits are in error during transmission, derive an expression for the probability that the error will be detected.
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Apr 20
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Probability
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Priyanka17
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1.3k
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44
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0
votes
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10
ISI paper
A block of bits with n rows and m columns uses horizontal and vertical parity bits for error detection. If exactly 4 bits are in error during transmission, derive an expression for the probability that the error will be detected.
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Apr 18
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Probability
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Priyanka17
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21
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0
votes
1
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11
CMI Data Science 2018 (Probability)
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Apr 14
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Probability
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Sayan Bose
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89
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usercmi2018
probability
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12
PGCET2010CS
The expected value of a probability function, when probability is measured on a scale of 0 to 1, coincides with it's (a) Mean (b) Variance (c) Standard deviation (d) None of them
asked
Apr 9
in
Probability
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Prajna
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93
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34
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probability
0
votes
0
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13
SHELDON AND ROSS
Twelve percent of all US households are in California. A total of 3.3 percent of all US households earn over 250000 per year, while a total of 6.3 percent California households earn over 250000 per year. If a randomly chosen US household earns over 250,000 per year, ... 10^(3)/(0.033)=0.2291 But the answer given in the instructors manual is .2066 What is wrong with my logic??
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Mar 22
in
Probability
by
Doraemon
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203
points)

32
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probability
sheldonross
0
votes
2
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14
Probability  Independent Events
What is the probability that, in six throws of a die, there will be exactly one each of “1”, “2”, “3”, “4”, “5” and “6”? $0.00187220$ $0.01432110$ $0.01176210$ $0.01543210$
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Mar 8
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Probability
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zeeshanmohnavi
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857
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63
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probability
engineeringmathematics
0
votes
0
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15
Discrete random variable
asked
Feb 20
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Probability
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Na462
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83
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probability
randomvariable
engineeringmathematics
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16
Central limit theorem
(Central Limit Theorem) Let X1, X2, . . . , X81 be i.i.d., each with expected value µ = E(Xi) = 5, and variance σ2 = Var(Xi) = 4. Approximate P(X1 + X2 +· · · X81 > 369), using the central limit theorem.
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Feb 19
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Probability
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Na462
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31
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probability
0
votes
1
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17
Grewal
Suppose avg waiting time of a process to get chance in a queue is 5 min. What will the probability that process get chance at first minute is ________________
asked
Feb 19
in
Probability
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srestha
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114k
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55
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probability
0
votes
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18
Probability mass function
Suppose that the cdf of X is given by: F(a) ={ 0 for a < 0 1/5 for 0 ≤ a < 2 2/5 for 2 ≤ a < 4 1 for a ≥ 4. } Determine the pmf of X.
asked
Feb 19
in
Probability
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Na462
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8.7k
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31
views
engineeringmathematics
randomvariable
+1
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19
Probability density function
Let R be the rate at which customers are served in a queue. Suppose that R is exponential with pdf f(r) = 2e^(−2r) on [0, ∞). Find the pdf of the waiting time per customer T = 1/R.
asked
Feb 19
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Probability
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Na462
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22
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engineeringmathematics
probability
0
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20
Expectation
Suppose 100 people all toss a hat into a box and then proceed to randomly pick out a hat. What is the expected number of people to get their own hat back. Hint: express the number of people who get their own hat as a sum of random variables whose expected value is easy to compute.
asked
Feb 19
in
Probability
by
Na462
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8.7k
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51
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#probability#expectation
probability
0
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1
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21
Conditional Probability
A multiple choice exam has 4 choices for each question. A student has studied enough so that the probability they will know the answer to a question is 0.5, the probability that they will be able to eliminate one choice is 0.25, otherwise ... the test to measure what the student knows. If the student answers a question correctly what's the probability they knew the answer?
asked
Feb 18
in
Probability
by
Na462
Loyal
(
8.7k
points)

232
views
conditionalprobability
probability
0
votes
1
answer
22
JEST 2019
Three dice are rolled independently. Probability of obtaining the difference from largest and smallest number as exactly 4 :
asked
Feb 18
in
Probability
by
Sayan Bose
Loyal
(
6.9k
points)

92
views
jest
probability
0
votes
1
answer
23
Conditional probability
Oscar has lost his dog in either forest A (with a priori probability 0.4) or in forest B (with a priori probability 0.6). On any given day, if the dog is in A and Oscar spends a day searching for it in A, the conditional probability that he will ﬁnd the dog that day is 0.25. ... +(1/2)*0.15; but the answer given is=(0.5*0.4*0.25)+(0.5*0.6*0.15); what is wrong with my logic?
asked
Feb 16
in
Probability
by
DIYA BASU
(
289
points)

86
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conditionalprobability
0
votes
1
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24
JEST Sample Question 1c
If a fair die (with 6 faces) is cast twice, what is the probability that the two numbers obtained differ by 2? (A) 1/12 (B) 1/6 (C) 2/9 (D) 1/2
asked
Feb 15
in
Probability
by
sripo
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52
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jest
probability
discretemathematics
+1
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25
JEST Sample Question6
Two gamblers have an argument. The first one claims that if a fair coin is tossed repeatedly, getting two consecutive heads is very unlikely. The second, naturally, is denying this. They decide to settle this by an actual trial; if, within n coin tosses, ... demonstrated. What happens for larger values of n? Is it true that P (n) only increases with n? Justify your answer.
asked
Feb 15
in
Probability
by
sripo
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2.6k
points)

27
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jest
engineeringmathematics
probability
0
votes
1
answer
26
Sheldon ross example 5f
A poker hand consists of 5 cards.If the cards have distinct consecutive values and are not all of the same suit,we say that hand is straight.For instance a hand consisting of the five of spades,six of spades,seven of spades,eight of spades and nine of hearts is a straight.What is the probability that one is dealt is a straight?
asked
Feb 14
in
Probability
by
rtalwar
(
207
points)

35
views
+1
vote
1
answer
27
A family has two children. Given that one of the children is a boy, what is the probability that both children are boys?
asked
Feb 14
in
Probability
by
ShubhamSwarnkar
(
37
points)

163
views
probability
0
votes
1
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28
Probability
Bob has a peculiar pair of foursided dice. When he rolls the dice, the probability of any particular outcome is proportional to the sum of the results of each die. All outcomes that result in a particular sum are equally likely. (a) What is the probability of the ... Here what do we mean by the line  any particular outcome is proportional to the sum of the results of each die.
asked
Feb 13
in
Probability
by
DIYA BASU
(
289
points)

20
views
probability
0
votes
0
answers
29
Probability
Let 3 cards are drawn from a pack of 52 cards one by one without replacement then find the prob that 3 cards are drawn out of which 2 are ace Ace and one is King?
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Feb 13
in
Probability
by
rtalwar
(
207
points)

71
views
0
votes
0
answers
30
Expectation
How is E[X1/X>1]=E[X]. Please explain.
asked
Feb 12
in
Probability
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DIYA BASU
(
289
points)

269
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