Question

The probability that a randomly selected teenager watched a rented video at least once during a week was 0.73. What is the probability that at least 3 teenagers in a group of 5 watched a rented movie at least once last week? (Round your answer to four decimal places.)

P(X ≥ 3) =

Answer 1

Let X denotes the number of teenagers who watched a rented video at least once during a week in a randomly selected group of 5 people.

Here,

X ~ Binomial(n = 5, p = 0.73)

The probability mass function of X is

Now,

The probability that at least 3 teenagers in a group of 5 watched a rented movie at least once last week