# Question

The commute time to work for a particular employee follows a continuous uniform distribution with a minimum time of 10 minutes and maximum time of 22 minutes.

a. Calculate the value of f(x).

b. What are the mean and standard deviation for this distribution?

c. What is the probability that the employee’s next commute to work will require less than 12.5 minutes?

d. What is the probability that the employee’s next commute to work will require more than 14.5 minutes?

e. What is the probability that the employee’s next commute to work will require between 11 and 20 minutes?

f. What commute time represents the 40th percentile of this distribution?

a. Calculate the value of f(x).

b. What are the mean and standard deviation for this distribution?

c. What is the probability that the employee’s next commute to work will require less than 12.5 minutes?

d. What is the probability that the employee’s next commute to work will require more than 14.5 minutes?

e. What is the probability that the employee’s next commute to work will require between 11 and 20 minutes?

f. What commute time represents the 40th percentile of this distribution?

## Answer to relevant Questions

A vending machine located in a local office dispenses coffee that varies from 7.4 to 8.2 ounces. The volume of coffee dispensed follows a continuous uniform distribution. a. Calculate the value of f(x). b. What are the ...Assume the room rate for a three star hotel in Paris follows a normal distribution with a mean of 175 euros and a standard deviation of 16 euros. a. What is the probability that a randomly selected three star hotel has a ...The RAD Construction Company has been awarded a contract with the state of Delaware to replace a bridge on Pike Creek Road. Based on experience with previous projects, RAD feels the project completion time follows a normal ...According to Leichtman Research Group, 69% of U. S. households had at least one HDTV in 2012. A random sample of 20 U. S. homes was selected. Use the normal approximation to the binomial distribution to answer the following: ...A busy intersection in the state of Delaware averages a traffic accident every 32 days. Assume the time between accidents follows an exponential distribution. a. What is the probability that the next accident will occur ...Post your question

0