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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