According to a study, 91% of all adults have a cell phone. An employee of a cell phone company attends a community event and has a special offer to give to first time cell phone owners. If she randomly selects adults in attendance at the event and cell phone ownership is independent from adult to adult, what is the probability that she asks 21 adults total to find the first one that does not own a cell phone?

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Answer:

(0.91)^{20}(0.09)

Step-by-step explanation:

The probability that she asks 21 adults total to find the first one that does not own a cell phone is  (0.91)²⁰(0.09).

Number of adults having cell phones =91%

Number of adults having cell phones =9%

What is probability?

Probability is the measure of the likelihood of an occurrence.

The probability that she asks 21 adults total to find the first one that does not own a cell phone = the probability that the first 20 adults have a cell phone and the 21st adult does not have a cell phone.

The probability that an adult has a cell phone =0.91

The probability that the first 20 adults have a cell phone = (0.91)²⁰

The probability that the 21st adult does not have a cell phone = 0.09

So, total probability = (0.91)²⁰(0.09)

Hence, The probability that she asks 21 adults total to find the first one that does not own a cell phone is  (0.91)²⁰(0.09).

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