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GATE CS 2021: Engineering Mathematics Quiz-6

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Question 1

Match the following Lists.
List-I
A-

B-

C-

D-

List-II
1- Discrete distribution
2- Continuous distribution

Question 2

An examination paper has 150 multiple choice questions of one mark each, with each question having four choices. Each incorrect Answer fetches -0.25 marks. Suppose 1000 students choose all their Answers randomly with uniform probability. The sum total of the expected marks obtained by all these students is

Question 3

An unbalanced dice (with 6 faces, numbered from 1 to 6) is thrown. The probabil1ty that the face value is odd is 90% of the probability that the face value is even. The probability of getting any even numbered face is the same. If the probability that the face is even given that it is greater than 3 is 0.75, which one of the following options is closest to the probability that the face value exceeds 3?

Question 4

Four fair coins are tossed simultaneously. The probability that at least one head and one tail turn up is

Question 5

Let X be a random variable. If E(X)=

, Var(X)=

, and K is a constant, then
E[(X-K)²] =

Question 6

Let X be a random variable following normal distribution with mean +1 and variance 4. Let Y be another normal variable with mean –1 and variance unknown. If P(X ≤ -1) = P(Y ≥ 2), the standard deviation of Y is

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GATE & PSU CS Engineering Mathematics

Nov 6GATE & PSU CS