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# GATE (CE) 2022: MATHEMATICS #6 (App update required to attempt this test)

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Question 1

If A and B are two independents events. If P(A) = 0.6 and P(ACUB) = 0.6, then calculate the value of P(B).

Question 2

Consider the following probability function of a random variable X such that

P(X) = 0.7 if X=0

0.3 if X= 1

0 other-wise.

Then calculate the variance of X.

Question 3

Two dice each numbered from 1 to 6 are thrown together. Let A and B be two events given by

A: even number on the first dice.

B: number on the second dice is greater than 4

What is the value of P(AՈB) and P(AUB) respectively?

Question 4

A point is randomly selected with uniform probability within the square in x-y plane bounded by x=0 to x=2 and y=0 to y=2. Find the expected value of L2 where L is length of the line segment.

Question 5

Two independent random variable X and Y are uniformly distributed in the interval of (-2, 2). The probability that max (X.Y) is less than 1 is

Question 6Multiple Correct Options

A die is tossed 180 times. If the probability of 6 turning up atleast 35 times is calculated through normal distribution which of the following computations are corrected for the above Data?

(Area under the normal b/w and is 0.35)
[Multiple Select Question]

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