Question

the hiking club plans to go camping in a state where the probability of rain on any given day is 1/4. what is the probability that it will rain on exactly two of the five days they are there round to nearest thousandth

Answer 1

Use the binomial distribution: P(X = 2) = C(5,2) (1/4)^2 (3/4)^3
= 10 * (1/16) * (27/64) = 135/512 ≈ 0.264.