CUET Mathematics - 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) | PYQs + Solutions

CUET Mathematics 2026 26th May Shift 2

Applied Mathematics

Easy

applied

5/61

625/244

35/122

25/122

✅ Correct Option: 3

Related questions:

30 May Shift 3

The probability distribution of a random variable X is given below :

X	0	1	2	3	4
P(X)	0.1	0.25	0.3	0.2	0.15

Then, $\text{Var}\left(\frac{X}{2}\right)$ is :

15th May Shift 1

A coin is tossed until a head appears, or the tail appears 4 times in succession, then the probability distribution of the number of tosses is

21st May Shift 2

If a random variable X follows binomial distribution with mean $\dfrac{4}{3}$ and variance $\dfrac{8}{9}$ . Which of the following are correct?

A. Probability of success is $\dfrac{1}{3}$ .

B. Probability of failure is $\dfrac{2}{3}$ .

C. Number of trials is 4.

D. $P(X \ge 1) = \dfrac{35}{81}$

Choose the correct answer from the options given below:

CUET Mathematics 2026 26th May Shift 2 PYQs