# According to the American Hotel and Motel Association (AHMA), women are expected to account for...

## Question:

According to the American Hotel and Motel Association (AHMA), women are expected to account for half of all business travelers by the year 2002. To attract these women business travelers, the AHMA found that 90% offer hair dryers in the bathrooms. Consider a random and independent sample of 20 hotels. Find the probability that more than 14 but less than 18 of the hotels in the sample offered hair dryers in the bathroom. Round your answer to four decimal places.

## binomial distribution:

Binomial distribution with parameters n and p is a discrete probability distribution of the number of successes in a sequence of n independent yes or no experiments, each of which yields success with probability p. A success/failure experiment is also called Bernoulli experiment or Bernoulli trial when n=1, the Binomial distribution is a Bernoulli distribution.

## Answer and Explanation:

{eq}X\sim ~B\left( {20,0.90} \right) {/eq}

The probability that more than 14 but less than 18 of the hotels in the sample offered hair dryers in the...

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View this answer{eq}X\sim ~B\left( {20,0.90} \right) {/eq}

The probability that more than 14 but less than 18 of the hotels in the sample offered hair dryers in the bathroom can be calculated as follows:

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from GMAT Prep: Help and Review

Chapter 4 / Lesson 15