Question

An organization installs new garage doors on residential homes. Suppose the installation time for a residence...

An organization installs new garage doors on residential homes. Suppose the installation time for a residence follows the uniform distribution with a minimum time of 190 minutes and a maximum time of 380 minutes. Complete parts a through e.

a. What is the probability that an installation will require less than 55 hours to​ complete?

The probability is ________.

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

b. What is the probability that an installation will require more than 44 hours to​ complete?

The probability is ________. ​(Round to four decimal places as​ needed.)

c. What is the probability that an installation will require between 270 and 350 minutes to​ complete?

The probability is ___________.

​(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 company has a goal that 80​% of the​ time, the installation time for a residence will be less than 6

hours. Is this goal being​ achieved?

The goal (is not; is) being​ achieved, because the area under the distribution to the left of 6 hours is ______.

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

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