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Webpage for Probability
Recent questions tagged probability
1
vote
2
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31
ML | DA | Multiclass Classification
Suppose a classifier predicts each possible class with equal probability. If there are 10 classes, what will the cross-entropy error be on a single example? $− log(10)$ $−0.1 log(1)$ $− log(0.1)$ $−10 log(0.1)$
rajveer43
asked
in
Machine Learning
Jan 29
by
rajveer43
174
views
machine-learning
probability
1
vote
1
answer
32
ML | NN | DA Practice
Suppose that you are training a neural network for classification, but you notice that the training loss is much lower than the validation loss. Which of the following can be used to address the issue (select all that apply)? Use a network with fewer layers Decrease dropout probability √ Increase $L2$ regularization weight Increase the size of each hidden layer
rajveer43
asked
in
Machine Learning
Jan 29
by
rajveer43
150
views
machine-learning
artificial-intelligence
probability
1
vote
2
answers
33
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 7
Ben participates in a prize draw. He receives one prize that is equally likely to be worth $\$ 5, \$ 10$ or $\$ 20$. Jamie participates in a different prize draw. She receives one prize that is equally likely to be worth $\$ 30$ or $\$ ... $ 50?$ $1 / 6$ $1 / 3$ $1 / 2$ $1 / 4$
GO Classes
asked
in
Quantitative Aptitude
Jan 28
by
GO Classes
311
views
goclasses2024-mockgate-13
goclasses
quantitative-aptitude
probability
2-marks
6
votes
1
answer
34
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 12
Let $x$ be a random variable possessing the probability density function $ f(x)= \begin{cases}c x & , x \in[0,10] \\ 0 & , \text { otherwise }\end{cases} $ where $c \in \mathbb{R}$. The probability that $x \in[1,2]$ is ______. $\dfrac{1}{100}$ $\dfrac{3}{100}$ $\dfrac{5}{100}$ $\dfrac{7}{100}$
GO Classes
asked
in
Probability
Jan 28
by
GO Classes
442
views
goclasses2024-mockgate-13
goclasses
probability
random-variable
1-mark
4
votes
1
answer
35
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 44
Football teams $T_1$ and $T_2$ play two games against each other in the Premier League. It is assumed that the outcomes of the two games are independent of each other. The probabilities of $T_1$ winning, drawing and losing against $T_2$ ... What will be the value of $P(X=Y)?$ $1 / 3$ $13 / 36$ $1 / 36$ $1 / 18$
GO Classes
asked
in
Probability
Jan 28
by
GO Classes
442
views
goclasses2024-mockgate-13
goclasses
probability
conditional-probability
2-marks
1
vote
1
answer
36
ML | DA | Classification
You encounter a classification task, and after training your network on 20 samples, the training converges, but the training loss is remarkably high. You decide to train the same network on 10,000 examples to address this issue. Is your approach to fixing ... of the model. D) No, a better approach would be to keep the same model architecture and increase the learning rate.
rajveer43
asked
in
Machine Learning
Jan 27
by
rajveer43
164
views
machine-learning
artificial-intelligence
probability
0
votes
1
answer
37
ML | DA Practice Questions
What is Error Analysis? (i) The process of analyzing the performance of a model through metrics such as precision, recall or F1-score. (ii) The process of scanning mis-classified examples to identify weaknesses of a model. (iii) The process ... to reduce the loss function during training. (iv) The process of identifying which parts of your model contributed to the error.
rajveer43
asked
in
Machine Learning
Jan 27
by
rajveer43
164
views
machine-learning
artificial-intelligence
statistics
probability
linear-algebra
7
votes
2
answers
38
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 6
A college has $10$ (non-overlapping) time slots for its courses, and assigns courses to time slots randomly and independently. A student randomly chooses $3$ of the courses to enroll in. What is the probability that there is a conflict in the student's schedule? (answer upto $2$ decimals)
GO Classes
asked
in
Probability
Jan 21
by
GO Classes
790
views
goclasses2024-mockgate-12
goclasses
numerical-answers
probability
independent-events
1-mark
6
votes
1
answer
39
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 36
Let $A, B, C$ be events such that $P(A)=P(B)=P(C)=0.5, P(A \cap B)=0.3, P(A \cap C)=0$. Which of the following is/are true? $P(A \cup B)=0.75$ $P(A \cup C)=1$ $P(B \cap C)=0.23$ $P(B \cup C)=0.9$
GO Classes
asked
in
Probability
Jan 21
by
GO Classes
829
views
goclasses2024-mockgate-12
goclasses
probability
multiple-selects
2-marks
0
votes
1
answer
40
AI Sample Question for DS-AI
Imagine you are guiding a robot through a grid-based maze using the A* algorithm. The robot is currently at node A (start) and wants to reach node B (goal). The heuristic function $h(n)$ is the Euclidean distance between a node and the goal. The ... algorithm explore next based on the A* calculation? A) Node C B) Node D C) Node E D) Not enough information to decide
rajveer43
asked
in
Artificial Intelligence
Jan 16
by
rajveer43
377
views
artificial-intelligence
machine-learning
probability
statistics
1
vote
2
answers
41
AIMT-2 GATE DA 2024| ML Question for GATE | Wanshington Uni | Aug-23 Mid term test
Suppose we are performing leave-one-out (LOO) validation and $10$-fold cross validation on a dataset of size $100, 000$ to pick between $4$ different values of a single hyperparameter. How many times greater is the number of models that need to be trained for LOO validation versus $10$-fold cross validation? Answer:
rajveer43
asked
in
Machine Learning
Jan 16
by
rajveer43
378
views
machine-learning
artificial-intelligence
probability
0
votes
1
answer
42
UPENN | DS-AI Sample | Decision Tree
When choosing one feature from \(X_1, \ldots, X_n\) while building a Decision Tree, which of the following criteria is the most appropriate to maximize? (Here, \(H()\) means entropy, and \(P()\) means probability) (a) \(P(Y | X_j)\) (b) \(P(Y) - P(Y | X_j)\) (c) \(H(Y) - H(Y | X_j)\) (d) \(H(Y | X_j)\) (e) \(H(Y) - P(Y)\)
rajveer43
asked
in
Artificial Intelligence
Jan 16
by
rajveer43
221
views
artificial-intelligence
machine-learning
statistics
probability
0
votes
1
answer
43
DA Practice | UPENN | ML | Naive Bais
Suppose you have a three-class problem where class label \( y \in \{0, 1, 2\} \), and each training example \( \mathbf{X} \) has 3 binary attributes \( X_1, X_2, X_3 \in \{0, 1\} \). How many parameters do you need to know to classify an example using the Naive Bayes classifier? (a) 5 b) 9 (c) 11 (d) 13 (e) 23
rajveer43
asked
in
Artificial Intelligence
Jan 14
by
rajveer43
391
views
machine-learning
artificial-intelligence
statistics
probability
3
votes
1
answer
44
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 28
Suppose that $X$ and $Y$ are independent random variables such that each is equal to $0$ with probability $.5$ and $1$ with probability $.5.$ Find $P(X+Y \leq 1)?$ (Answer up to $2$ decimals)
GO Classes
asked
in
Probability
Jan 13
by
GO Classes
493
views
goclasses2024-mockgate-11
goclasses
numerical-answers
probability
random-variable
1-mark
4
votes
1
answer
45
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 29
You have three coins in your pocket, two fair ones but the third biased with the probability of heads $p$ and tails $1-p$. One coin selected at random drops to the floor, landing heads up. How likely is it that it is one of the fair coins? $1 / \mathrm{p}$ $1 /(1+p)$ $p /(1+p)$ $(1+p) / p$
GO Classes
asked
in
Probability
Jan 13
by
GO Classes
445
views
goclasses2024-mockgate-11
goclasses
probability
conditional-probability
1-mark
0
votes
1
answer
46
GATE 2016 | MATHS | Q-33
Suppose \( X \) and \( Y \) are two random variables such that \( aX + bY \) is a normal random variable for all \( a, b \) in \( \mathbf{R} \). Consider the following statements P, Q, R, and S: (P) : \( X \) is a standard normal random variable. (Q) ... 0. Which of the above statements ALWAYS hold TRUE? (A) both P and Q (B) both Q and R (C) both Q and S (D) both P and S
rajveer43
asked
in
Probability
Jan 11
by
rajveer43
112
views
statistics
probability
0
votes
0
answers
47
GATE 2018 | MATH | Q-64
Let \(X_1\) and \(X_2\) be independent geometric random variables with the same probability mass function given by \(P(X = k) = p(1 - p)^{k-1}\), \(k = 1, 2, \ldots\). Then the value of \(P(X_1 = 2 | X_1 + X_2 = 4)\) correct up to three decimal places is____________
rajveer43
asked
in
Probability
Jan 11
by
rajveer43
103
views
probability
statistics
0
votes
0
answers
48
GATE 2018 | MATHS | Q-63
Let $X$ be the number of heads in 4 tosses of a fair coin by Person 1 and let $Y$ be the number of heads in 4 tosses of a fair coin by Person 2. Assume that all the tosses are independent. Then the value of $P(X = Y )$ correct up to three decimal places is_________
rajveer43
asked
in
Probability
Jan 11
by
rajveer43
103
views
probability
0
votes
1
answer
49
GATE 2018 | MATHS | Q-62
Let $X1, X2, X3, X4$ be independent exponential random variables with mean $1, 1/2, 1/3, 1/4,$ respectively. Then $Y = min(X1, X2, X3, X4)$ has exponential distribution with mean equal to
rajveer43
asked
in
Probability
Jan 11
by
rajveer43
117
views
probability
statistics
0
votes
1
answer
50
GATE 2018 | MATHS | Q-48
Let \(X_1, X_2, \ldots, X_n\) be independent and identically distributed random variables with probability density function given by \[ f_X(x; \theta) = \begin{cases} \theta e^{-\theta(x-1)}, & \text{if } x \geq 1 \\ 0, & \text{otherwise} \end{cases} \] Also, let \(X = \frac{1}{n ... {1}{X}\) (B) \(\frac{1}{X^{\frac{1}{\theta} - 1}}\) (C) \(\frac{1}{X - 1}\) (D) $X$
rajveer43
asked
in
Probability
Jan 11
by
rajveer43
98
views
probability
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