GATE DA format:mcq PYQs & Answers — Page 6

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Questions 51–60 of 105. Imported answers require independent review unless marked reviewed.

Topic practice 105 questionsPage 6 of 11

Consider a hash table of size 10 with indices

, with the hash function

where linear probing is used to handle collisions. The hash table is initially empty and the following sequence of keys is inserted into the hash table: 1, 4, 5, 6, 14, 15. The indices where the keys 14 and 15 are stored are, respectively

Your answerChoose one option.

2 and 5

2 and 6

4 and 5

4 and 6

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Let

be a continuous random variable whose cumulative distribution function (CDF)

, for some

, is given as follows:

If the median of

is 3, then what is the value of

Your answerChoose one option.

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Let

, where

is a standard normal random variable, and

are two unknown constants. It is given that

where

denotes the expectation of random variable

. The values of

are:

Your answerChoose one option.

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It is given that

for an exponentially distributed random variable

with

, where

denotes the expectation of

. What is the value of

(ln denotes natural logarithm)

Your answerChoose one option.

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Consider designing a linear classifier

on a dataset

. Recall that the sign function outputs +1 if the argument is positive, and −1 if the argument is non-positive. The parameters

and

are updated as per the following training algorithm:

whenever

. In other words, whenever the classifier wrongly predicts a sample

from the dataset,

gets updated to

, and likewise

gets updated to

. Consider the case

. Then

Your answerChoose one option.

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Consider the following Python declarations of two lists.

A=[1,2,3]

B=[4,5,6]

Which one of the following statements results in A=[1,2,3,4,5,6]?

Your answerChoose one option.

A.extend(B)

A.append(B)

A.update(B)

A.insert(B)

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Let

, where

is a normal random variable with mean

and variance

. The variance of

Your answerChoose one option.

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Let

be such that

. Which one of the following statements is ALWAYS correct?

Your answerChoose one option.

is invertible

Determinant of

is 0

The sum of the diagonal elements of

is 1

and

have the same rank

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Let

be a set of linearly independent vectors in

. Let the

-th element of matrix

be given by

. Which one of the following statements is correct?

Your answerChoose one option.

is invertible

0 is a singular value of

Determinant of

is 0

for some non-zero

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Consider the cumulative distribution function (CDF) of a random variable

The value of

Your answerChoose one option.

0.625

0.25

0.5

0.5625

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