Question

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X≥2), n=6, p=0.2

Answer 1

Answer:

0.3446

Step-by-step explanation:

P(X≥2) = 1 − P(X<2)

P(X≥2) = 1 − P(X=0) − P(X=1)

P(X≥2) = 1 − ₆C₀ (0.2)⁰ (0.8)⁶ − ₆C₁ (0.2)¹ (0.8)⁵

P(X≥2) = 1 − 0.2621 − 0.3932

P(X≥2) = 0.3446