) Assume the time required to pass through security at a particular airport follows the continuous uniform distribution with a minimum time of 6 minutes and maximum time of 31 minutes. Complete parts (a) through (f) below.

a) Calculate the value off(x).

f(x)= (Type integer or decimal rounded to three decimal places asneeded.)

b) What are the mean and standard deviation for thisdistribution?

The mean of this distribution is minutes. (Type integer or adecimal.)

The standard deviation of this distribution is minutes.(Type integer or decimal rounded to two decimal places asneeded.)

c) What is the probability that the next passenger will require less than 26 minutes to pass throughsecurity?

(Type integer or decimal rounded to three decimal places asneeded.)

d) What is the probability that the next passenger will require more than 22 minutes to pass throughsecurity?

(Type integer or decimal rounded to three decimal places asneeded.)

e) What is the probability that the next passenger will require between 9 and 17 minutes to pass throughsecurity?

(Type integer or decimal rounded to three decimal places asneeded.)

f) What time represents the 75th percentile of thisdistribution?

minutes. (Type integer or adecimal.)