If a variable is Normal (µ = 10, σ = 1.2)
to. Find the probability that X is between 10 and 12. (10points)
b. Calculate the X corresponding to the 80% percentile (10points)
c. Find the probability that X is greater than 9 (10 points)
d. If a sample of 15 data is taken, calculate the probability thatthe average is between 9.2 and 10. (10 points)
and. Calculate the 90% percentile of the average of X if the sampleis 15 data. (10 points)
F. If you sample 10 data, find the probability that the Total isbetween 105 and 120. (10 points)
