The maturity of green beans for the species of green beans grown at Mr. Jones farm take place uniformly between 60 and 72 days from the day they were planted leading to distribution of X the maturing times of beans of:
If sample of 60 maturing times are repeatedly taken from the maturing times of this bean and its mean computed, by central limit theorem (a) Determine the probability that mean of the sample is less than 65.2 days? (b) Determine the probability that mean of the sample lies between 65 and 67.6, (c) Compute the probability that mean of the sample is greater than 67?