Questions 51–55 of 55. Imported answers require independent review unless marked reviewed.

Topic practice 55 questionsPage 6 of 6

Question 23

Open question
CSNAT1 markNeeds review

is an undirected graph with

vertices and 25 edges such that each vertex of

has degree at least 3. Then the maximum possible value of

is __________.

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Question 24

Open question
CSNAT1 markNeeds review
Consider a quadratic equation

with coefficients in a base

. The solutions of this equation in the same base

are

and

. Then

__________.

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Question 26

Open question
CSMCQ2 marksNeeds review
P and Q are considering to apply for a job. The probability that P applies for the job is

, the probability that P applies for the job given that Q applies for the job is

, and the probability that Q applies for the job given that P applies for the job is

. Then the probability that P does not apply for the job given that Q does not apply for the job is
Your answerChoose one option.

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Question 31

Open question
CSMCQ2 marksNeeds review
For any discrete random variable

, with probability mass function

,

,

, and

, define the polynomial function

. For a certain discrete random variable

, there exists a scalar

such that

. The expectation of

is
Your answerChoose one option.

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Question 47

Open question
CSNAT2 marksNeeds review
If the ordinary generating function of a sequence

is

, then

is equal to __________.

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