Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
Recent questions tagged statistics
0
votes
0
answers
1
Memory Based GATE DA 2024 | Question: 41
Consider two random variables, $x$ and $y$, defined as follows: \[ x = \begin{cases} 1 & \text{if HH } \\ 0 & \text{otherwise} \end{cases} \] \[ y = \begin{cases} 1 & \text{if at least one head} \\ 0 & \text{otherwise} \end{cases} \] What is the covariance between $x$ and $y?$
GO Classes
asked
in
Probability
Feb 4
by
GO Classes
84
views
gate2024-da-memory-based
goclasses
probability
statistics
0
votes
1
answer
2
Neural Network | ML | DA Practice
You have a single hidden-layer neural network for a binary classification task. The input is \(X \in \mathbb{R}^{n \times m}\), output \(\hat{y} \in \mathbb{R}^{1 \times m}\), and true label \(y \in \mathbb{R}^{1 \times m}\). The forward propagation equations are: ... $\frac{\partial J}{\partial W^{[1]}} = (\hat{y} - y) \cdot \sigma'(z^{[1]}) \cdot X^T$
rajveer43
asked
in
Machine Learning
Jan 27
by
rajveer43
142
views
machine-learning
artificial-intelligence
statistics
0
votes
1
answer
3
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
156
views
machine-learning
artificial-intelligence
statistics
probability
linear-algebra
0
votes
1
answer
4
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
369
views
artificial-intelligence
machine-learning
probability
statistics
0
votes
1
answer
5
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
211
views
artificial-intelligence
machine-learning
statistics
probability
0
votes
1
answer
6
UPENN | ML | DECISION TREE
Given the following table of observations, calculate the information gain $IG(Y |X)$ that would result from learning the value of $X$. X Y Red True Green False Brown False Brown False (a) 1/2 (b) 1 (c) 3/2 (d) 2 (e) none of the above
rajveer43
asked
in
Artificial Intelligence
Jan 16
by
rajveer43
207
views
artificial-intelligence
statistics
machine-learning
binary-tree
0
votes
1
answer
7
UPENN | ML Questions for GATE DA
In fitting some data using radial basis functions with kernel width $σ$, we compute training error of $345$ and a testing error of $390$. (a) increasing $σ$ will most likely reduce test set error (b) decreasing $σ$ will most likely reduce test set error (C) not enough information is provided to determine how $σ$ should be changed
rajveer43
asked
in
Artificial Intelligence
Jan 15
by
rajveer43
243
views
machine-learning
statistics
artificial-intelligence
0
votes
1
answer
8
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
382
views
machine-learning
artificial-intelligence
statistics
probability
0
votes
2
answers
9
UPENN | ML | Cross validation
Suppose you have picked the parameter \( \theta \) for a model using 10-fold cross-validation. The best way to pick a final model to use and estimate its error is to (a) pick any of the 10 models you built for your model; use its error estimate on ... a new model on the full data set, using the \( \theta \) you found; use the average CV error as its error estimate
rajveer43
asked
in
Artificial Intelligence
Jan 13
by
rajveer43
245
views
machine-learning
artificial-intelligence
statistics
0
votes
1
answer
10
UPENN | ML | Cross Validation
P1: In the limit of infinite training and test data, consistent estimators always give at least as low a test error as biased estimators. P2: Leave-one out cross validation (LOOCV) generally gives less accurate estimates of true test error than 10-fold ... following Statements is/are correct? Only P1 is True Only P2 is True P1 is True and P2 is False Both are False
rajveer43
asked
in
Artificial Intelligence
Jan 13
by
rajveer43
187
views
machine-learning
artificial-intelligence
statistics
0
votes
1
answer
11
UPENN | ML | DA Practice | Regularization
After applying a regularization penalty in linear regression, you find that some of the coefficients of $w$ are zeroed out. Which of the following penalties might have been used? (a) L0 norm (b) L1 norm (c) L2 norm (d) either (A) or (B) (e) any of the above
rajveer43
asked
in
Artificial Intelligence
Jan 13
by
rajveer43
253
views
machine-learning
artificial-intelligence
statistics
0
votes
0
answers
12
UPENN | ML | DA Practice
Using the same data as above \( \mathbf{X} = [-3, 5, 4] \) and \( \mathbf{Y} = [-10, 20, 20] \), assuming a ridge penalty \( \lambda = 50 \), what ratio versus the MLE estimate \( \hat{\mathbf{w}}_{\text{MLE}} \) do you think the ridge regression \( L_2 \) estimate \( \hat{\mathbf{w}}_{\text{ridge}} \) will be? (a)] 2 b)] 1 (c)] 0.666 (d)] 0.5
rajveer43
asked
in
Artificial Intelligence
Jan 13
by
rajveer43
123
views
artificial-intelligence
machine-learning
statistics
0
votes
1
answer
13
UPENN | ML | DA Practice
Consider the statements: $P1:$ It is generally more important to use consistent estimators when one has smaller numbers of training examples. $P2:$ It is generally more important to used unbiased estimators when one has smaller numbers of training examples. Which of the following statement( ... $P1$ and $P2$ are true (C) Only $P2$ is True (D) Both $P1$ and $P2$ are False
rajveer43
asked
in
Artificial Intelligence
Jan 13
by
rajveer43
126
views
machine-learning
artificial-intelligence
statistics
0
votes
1
answer
14
DA Practice | UPENN | ML | Bias-Variance Trade Off | Regularization
Suppose we have a regularized linear regression model: \[ \text{argmin}_{\mathbf{w}} \left||\mathbf{Y} - \mathbf{Xw} \right||^2 + k \|\mathbf{w}\|_p^p. \] What is the effect of increasing \( p ... , decreases variance (c)] Decreases bias, increases variance (d)] Decreases bias, decreases variance (e)] Not enough information to tell
rajveer43
asked
in
Artificial Intelligence
Jan 13
by
rajveer43
142
views
machine-learning
artificial-intelligence
statistics
0
votes
1
answer
15
UPENN | ML | DA Practice | Bias-Variance Trade-Off
Suppose we have a regularized linear regression model: \[ \text{argmin}_{\mathbf{w}} \left||\mathbf{Y} - \mathbf{Xw} \right||^2 + \lambda \|\mathbf{w}\|_1. \] What is the effect of increasing \( \lambda \) ... bias, decreases variance (c)] Decreases bias, increases variance (d)] Decreases bias, decreases variance (e)] Not enough information to tell
rajveer43
asked
in
Artificial Intelligence
Jan 13
by
rajveer43
113
views
artificial-intelligence
machine-learning
statistics
0
votes
1
answer
16
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
104
views
statistics
probability
0
votes
0
answers
17
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
99
views
probability
statistics
0
votes
1
answer
18
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
109
views
probability
statistics
0
votes
1
answer
19
GATE 2018 | MATHS | QI47
Let \(\{X_i\}\) be a sequence of independent Poisson(\(\lambda\)) variables, and let \(W_n = \frac{1}{n} \sum_{i=1}^{n} X_i\). Then the limiting distribution of \(\sqrt{n}(W_n - \lambda)\) is the normal distribution with zero mean and variance given by (A) \(1\) (B) \(\sqrt{\lambda}\) (C) \(\lambda\) (D) \(\frac{\lambda}{2}\)
rajveer43
asked
in
Probability
Jan 11
by
rajveer43
106
views
probability
statistics
0
votes
0
answers
20
GATE DA Paper | Practice Problems
Let $𝑌_1 < 𝑌_2 < ⋯ < 𝑌_n$ be the order statistics of a random sample of size $𝑛$ from a continuous distribution, which is symmetric about its mean $𝜇$. Then the smallest value of $𝑛$ (in integer) such that $𝑃(𝑌1 < 𝜇 < 𝑌) ≥ 0.99$, is ______.
rajveer43
asked
in
Probability
Jan 10
by
rajveer43
76
views
statistics
probability
0
votes
0
answers
21
Statistics | Poisson Distribution Sample Question | GATE DA
Let $0, 1, 1, 2, 0$ be five observations of a random variable $𝑋$ which follows a Poisson distribution with the parameter $𝜃 > 0$. Let the minimum variance unbiased estimate of $𝑃(𝑋 ≤ 1)$, based on this data, be $𝛼$. Then $5^4𝛼$ (in integer) is equal to _____________
rajveer43
asked
in
Probability
Jan 10
by
rajveer43
78
views
statistics
0
votes
0
answers
22
GATE 2021 | Statistics | Q-3
rajveer43
asked
in
Probability
Jan 10
by
rajveer43
34
views
statistics
probability
0
votes
1
answer
23
GATE 2021 | Statistics | Q-11
Let $X$ be a non constant positive random variable such that $E(X)=9$. Then which of the following statements is correct A) $E(1X+1)>0.1$ and $P(X≥10)≤0.9$ B) $E(1X+1)<0.1$ and $P(X≥10)≤0.9$ C) $E(1X+1)>0.1$ and $P(X≥10)>0.9$ D) $E(1X+1)<0.1 and P(X≥10)>0.9$
rajveer43
asked
in
Probability
Jan 10
by
rajveer43
83
views
statistics
3
votes
1
answer
24
GATE IN 2023 | GA Question: 4
Which one among the following statements must be $\text{TRUE}$ about the mean and the median of the scores of all candidates appearing for $\text{GATE }2023?$ The median is at least as large as the mean. The mean is at least as large as ... the candidates have a score that is larger than the median At most half the candidates have a score that is larger than the mean.
admin
asked
in
Quantitative Aptitude
May 22, 2023
by
admin
1.9k
views
gatein-2023
quantitative-aptitude
statistics
3
votes
1
answer
25
GATE Civil 2023 Set 1 | GA Question: 7
Which one of the options can be inferred about the mean, median, and mode for the given probability distribution (i.e. probability mass function), $P(x)$, of a variable $x?$ mean $=$ median $\neq$ mode mean $=$ median $=\operatorname{mode}$ $\operatorname{mean} \neq \operatorname{median}=\operatorname{mode}$ mean $\neq$ mode $=$ median
admin
asked
in
Quantitative Aptitude
May 21, 2023
by
admin
1.3k
views
gatecivil-2023-set1
quantitative-aptitude
statistics
1
vote
0
answers
26
Best Open Video Playlist for Elementary Statistics Topic | Quantitative Aptitude
Please list out the best free available video playlist for Elementary Statistics from Quantitative Aptitude as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom ... are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
asked
in
Study Resources
Aug 27, 2022
by
makhdoom ghaya
206
views
missing-videos
go-classroom
free-videos
video-links
statistics
Page:
1
2
next »
Subscribe to GATE CSE 2024 Test Series
Subscribe to GO Classes for GATE CSE 2024
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
Post GATE 2024 Guidance [Counseling tips and resources]
GATE CSE 2024 Result Responses
[Project Contest] Pytorch backend support for MLCommons Cpp Inference implementation
Participating in MLCommons Inference v4.0 submission (deadline is February 23 12pm IST)
IIITH PGEE 2024 Test Series by GO Classes
Subjects
All categories
General Aptitude
(3.5k)
Engineering Mathematics
(10.4k)
Digital Logic
(3.6k)
Programming and DS
(6.2k)
Algorithms
(4.8k)
Theory of Computation
(6.9k)
Compiler Design
(2.5k)
Operating System
(5.2k)
Databases
(4.8k)
CO and Architecture
(4.0k)
Computer Networks
(4.9k)
Artificial Intelligence
(79)
Machine Learning
(48)
Data Mining and Warehousing
(25)
Non GATE
(1.4k)
Others
(2.7k)
Admissions
(684)
Exam Queries
(1.6k)
Tier 1 Placement Questions
(17)
Job Queries
(80)
Projects
(11)
Unknown Category
(870)
64.3k
questions
77.9k
answers
244k
comments
80.0k
users
Recent questions tagged statistics
Recent Blog Comments
category ?
Hi @Arjun sir, I have obtained a score of 591 in ...
download here
Can you please tell about IIT-H mtech CSE self...
Please add your admission queries here:...