Question

A resort that is a major vacation destination consists of​ 1,450 acres of​ land, so the resort provides shuttle buses for visitors who need to travel within the resort. Suppose the wait time for a shuttle bus follows a uniform distribution with a minimum time of 30 seconds and a maximum time of 9 minutes. Complete parts a through e.

a. What is the probability that a visitor will need to wait more than 22 minutes for the next​ shuttle?

The probability is _________.

​(Round to four decimal places as​ needed.)

b. What is the probability that a visitor will need to wait less than 6.5 minutes for the next​ shuttle?

The probability is _______.

​(Round to four decimal places as​ needed.)

c. What is the probability that a visitor will need to wait between 5 and 7 minutes for the next​ shuttle?

The probability is ________.

d. Calculate the mean and standard deviation for this distribution.

The mean of the given uniform distribution is μ=______. ​(Type an integer or a decimal. Do not​ round.)

The standard deviation of the given uniform distribution is σ =________. ​(Round to four decimal places as​ needed.)

d. Calculate the mean and standard deviation for this distribution.

The mean of the given uniform distribution is μ=_______.

​(Type an integer or a decimal. Do not​ round.)

The standard deviation of the given uniform distribution is

σ=_______. (Round to four decimal places as​ needed.)

e. The resort has a goal that 70​% of the​ time, the wait for the shuttle will be less than 66 minutes. Is this goal being​ achieved?

The goal (is;is not) being​ achieved, because the area under the distribution to the left of 66 is _______

​(Round to four decimal places as​ needed.)

Answer 1