4. The time it takes travelers to pass through security at a large airport is approximately normal with a mean of 25 minutes and a standard deviation of 8 minutes. Let the random variable X be the time a randomly selected traveler takes to pass through security. a. What is the proportion of travelers who are able to pass through security in 15 minutes or less? b. What is the proportion of travelers who take between 25 and 45 minutes to pass through security? c. In a study of security measures at this airport, a random sample of 25 travelers will be selected and the time they take to pass through security will be recorded. The mean of this sample, ar{X}, will also be calculated. What is the sampling distribution of ar{X}? Be sure to specify the parameters of this distribution.
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The proportion of travelers who are able to pass through security in 15 minutes or less is . b. The proportion of travelers who take between 25 and 45 minutes to pass through security is . Show more…
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