CUET Mathematics - If 0.1% of the bolts manufactured by a machine are found to be defective. Find the probability that, in a sample of 2000 bolts chosen at random, exactly 3 will be defective using the Poisson distribution. [Given e^-2 =0.1353] | PYQs + Solutions

CUET Mathematics 2026 29th May Shift 2

Applied Mathematics

Medium

applied

0.2700

0.1350

0.1804

0.2800

✅ Correct Option: 3

Related questions:

14th May Shift 2

Match the LIST-I with LIST-II

	LIST-I		LIST-II
A.	In a binomial distribution, if $n = 16$ , $p = 0.75$ , then the mean is	I.	$4$
B.	In a binomial distribution, if $n = 25$ , $p = \dfrac{1}{5}$ , then variance is	II.	$32$
C.	In a binomial distribution, the mean is 8 and the variance is 6, then the number of trials is	III.	$18$
D.	If the mean and variance of a binomial distribution are 6 and 4 respectively, then the number of trials is	IV.	$12$

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12th May Shift 2

If a coin is tossed 8 times and getting a head is considered as success, then which of the following statements are correct ?

(A) The probability of getting 4 heads is $\dfrac{35}{128}$

(B) The mean of the number of successes is 4.

(D) The probability of getting 6 heads is $\dfrac{9}{64}$ .

Choose the correct answer from the options given below:

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

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CUET Mathematics 2026 29th May Shift 2 PYQs