Data are uniformly distributed between the values of 6 and 14.

(a)Determine the value off(x). What are the mean and standard deviation of this distribution?

(b)What is the probability of randomly selecting a value greater than 11?

(c)What is the probability of randomly selecting a value between 7 and 12?

(Round your answers to 3 decimal places.)

(a)

f(x) =

=

=

(b)

P(x> 11) =

(c)

P(7 <x< 12) =