Using the binomial distribution, answer the following question. In the Southwest, 5% of all cell phone calls are dropped. What is the probability that out of six randomly selected called, exactly one will be dropped?

23.21% probability that out of six randomly selected called, exactly one will be dropped.

Step-by-step explanation:

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 combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

5% of all cell phone calls are dropped.

This means that

What is the probability that out of six randomly selected called, exactly one will be dropped?

This is when . So

23.21% probability that out of six randomly selected called, exactly one will be dropped.