CUET Mathematics - Which of the following statements are correct? (A) The mean of a binomial distribution is always greater than the variance. (B) The mean of a Poisson distribution is always greater than the variance. (C) If f(x) is the probability density function of a random variable X, then P(a ≤ X ≤ b) = _a^b f(x)dx. (D) If X is a random variable and a,b are real numbers, then Var(aX+b)=a^2Var(X). Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 18th May Shift 1

Applied Mathematics

Medium

applied

(B), (C) and (D) only

(A), (B) and (C) only

(A),(C) and (D) only

(B) and (D) only

✅ Correct Option: 3

Related questions:

19th May Shift 2

A car hire firm has two cars, which is hire out day by day. The number of demands for cars on each day is distributed as a Poisson distribution with mean 1.5. Then which of the following is/are TRUE? (use $e^{-1.5} = 0.2231$ )

A. The probability of days when no car is required is 0.2231

B. The probability of days when some demand is refused is 0.1913

C. The probability of days when no car is required is 0.1913

D. The probability of days when some demand is refused is 0.2231

Choose the correct answer from the options given below:

26th May Shift 2

A traffic police officer records the number of motorcycle riders that use a particular lane on a highway. He records that an average of 2.5 motorcycle riders use the lane every hour. Given that the number of motorcycles that use the particular lane follows a Poisson distribution. The probability that less than 2 motorcycle riders will use the lane within an hour will be:- (Use $e^{2.5} = 12.2$ )

22 May Shift 3

If the probability distribution of X is :

X	2	3	4	5	6
P(X)	1/15	2/15	3/15	4/15	5/15

Then variance is equal to :

CUET Mathematics 2026 18th May Shift 1 PYQs

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