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Wait times at the grocery store are uniformly distributed between 0 and 4 minutes. A shopper is selected randomly, find the following:
Express answer as reduced fraction or decimal (rounded to two decimal places).
a. The probability they wait at most three minutes,
P( x <= 3 ) =
b. The probability they wait exactly two minutes,
P( x = 2 ) =
c. The probability they wait between 1 and 3 minutes,
P( 1 < x < 3 ) =
d. The probability they wait less than 3 minutes, given that they wait more than 1 minute,
P( x<3 | x>1) =
e. The mean wait time is______ minutes.
f. The standard deviation of the distribution is _____ minutes.
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