A computer selects a number X
X
from 4 to 11 randomly and uniformly. Round all answers to 4 decimal places where possible.
What is the distribution of
X
X
?
X
X
~ U(,)
Suppose that the computer randomly picks 35 such numbers. What is the distribution of
¯
x
x
¯
for this selection of numbers.
¯
x
x
¯
~ N(,)
What is the probability that the average of 35 numbers will be less than 7.9?