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.