The probability that a randomly selected teenager watched a rented video at least once during a week was 0.75. what is the probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week? (round your answer to four decimal places.)

0.7564

Step-by-step explanation:

Let X be the event of watching a rented video at least once during a week,

Given,

The probability of watching a rented video at least once during a week was, p = 0.75,

So, the probability of not watching a rented video at least once during a week was, q = 1 - p = 0.25,

Binomial distributive formula,

Where,

Hence, the probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week,

P(X ≥ 5) = P(X=5) + P(X=6 )+ P(X=7)