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The commute time to work...

The commute time to work for a particular employee follows a continuous uniform distribution with a minimum time of 19 minutes and maximum time of 35 minutes. Complete parts a–f.

a) Calculate the value of f(x).

f(x)=nothing (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 nothing minutes.

(Type an integer or decimal rounded to two decimal places as needed.)

The standard deviation of this distribution is nothing minutes.

(Type an integer or decimal rounded to two decimal places as needed.)

c) What is the probability that the employee's next commute to work will require less than 31.5 minutes?

nothing (Type an integer or decimal rounded to three decimal places as needed.)

d) What is the probability that the employee's next commute to work will require more than 29.5 minutes?

nothing (Type an integer or decimal rounded to three decimal places as needed.)

e) What is the probability that the employee's next commute to work will require between 24 and 27 minutes?

nothing (Type an integer or decimal rounded to three decimal places as needed.)

f) What commute time represents the 30th percentile of this distribution?

nothing minutes

(Type an integer or decimal rounded to one decimal place as needed.)

a) Calculate the value of f(x).

f(x)=nothing (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 nothing minutes.

(Type an integer or decimal rounded to two decimal places as needed.)

The standard deviation of this distribution is nothing minutes.

(Type an integer or decimal rounded to two decimal places as needed.)

c) What is the probability that the employee's next commute to work will require less than 31.5 minutes?

nothing (Type an integer or decimal rounded to three decimal places as needed.)

d) What is the probability that the employee's next commute to work will require more than 29.5 minutes?

nothing (Type an integer or decimal rounded to three decimal places as needed.)

e) What is the probability that the employee's next commute to work will require between 24 and 27 minutes?

nothing (Type an integer or decimal rounded to three decimal places as needed.)

f) What commute time represents the 30th percentile of this distribution?

nothing minutes

(Type an integer or decimal rounded to one decimal place as needed.)

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