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.)
p(x greaterthanorequalto 5) =

There is a 75.65% probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week.

Step-by-step explanation:

For each teenager, there are only two possible outcomes. Either they watched a rented video at least once during a week, or they did not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

The probability that a randomly selected teenager watched a rented video at least once during a week was 0.75. This means that .

What is the probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week?

Group of 7, so .

.

In which

So

.

There is a 75.65% probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week.

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step-by-step explanation: