Assume the time required to pass through security at a parti

Assume the time required to pass through security at a particular airport follows the continuous uniform distribution with a minimum time of 8 minutes and maximum time of 38 minutes Complete parts (a) through (t) below. a) Calculate the value of f(x). f(x) = (Type an integer or decimal rounded to three decimal places as needed.) b) What are the mean and standard deviation for this distribution? The mean of this distribution is minutes (Type an integer or a decimal.) The standard deviation of this distribution s minutes (Type an integer or decimal rounded to two decimal places as needed) c) What is the probability that the next passenger will require less than 34 minutes to pass through security? (Type an integer or decimal rounded to three decimal places as needed) d) What is the probability that the next passenger will require more than 28 minutes to pass through security? (Type an integer or decimal rounded to three decimal places as needed) e) What is the probability that the next passenger will require between 10 and 14 minutes to pass through security? D (Type an integer or decimal rounded to three decimal places as needed.) f) What time represents the 75th percentile of this distribution? minutes (Type an integer or a decimal.)

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