CUET Mathematics - It is known that 3% of plastic bags manufactured in a factory are defective. Using the Poisson distribution on a sample of 100 bags, the probability of at most one defective bag is: | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 2

Algebra

Medium

applied

$\frac{1}{e^2}$

$\frac{3}{e^3}$

$e^{-3}$

$\frac{1}{3}$

✅ Correct Option: 2

Related questions:

2 June Shift 1

For any events A and B of a sample space S, which of the following statements are TRUE?

(A) $P(S | B) = 1$

(B) $P(A \cap B) = P(A) + P(B) + P(A \cup B)$

(D) $P(A | B) = \frac{P(A \cap B)}{P(B)}, P(B) \neq 0$

Choose the correct answer from the options given below:

21 May Shift 1

If a random variable y follows Poisson's distribution such that $P(Y = 2) = 9 P(Y = 4) + 90 P(Y = 6)$ , then sum of the mean and variance of y is

22 May Shift 1

Probability that a man speaks truth is $\frac{1}{6}$ . He throws a die and reports that it is a six. The probability that it is actually a six is

CUET Mathematics 2025 21 May Shift 2 PYQs