Scenario I go to an Internet site that has a random number

Scenario ? I go to an Internet site that has a random number generator set to produce random real numbers from a uniform distribution with the user picking the values of the endpoints. I set the random generator to produce numbers in the following interval: 25

Solution

Mean of sample = 36.5

std dev = 6.64

n =10

P(X<30) = P(Z<  = -3.095)

=1-0.4990

=0.0010