Question

In a certain College, 40% of the english majors are from New York. Find the probability of the event from a random sample of 16 students who are english majors.

Exactly 2 are from New York

*Applications on Probability*

Answer 1

0.015

Explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this case, n = 16, r = 2, and p = 0.4.

P = ₁₆C₂ (0.4)² (0.6)¹⁴

P ≈ 0.015

The probability is approximately 0.015, or 1.5%.