A random sample of size n = 32 is taken from a distribution with a mean value of u = 8 and a variance of g =4. Let T, denote the sample total. Approximate the following probability: P(260

Only answers for both

Extracted text: A random sample of size n = 32 is taken from a distribution with a mean value of u = 8 and a variance of g =4. Let T, denote the sample total. Approximate the following probability: P(260


Extracted text: The heights of female students at a certain school follow a normal distribution with a mean height of 5.4 feet and a standard deviation of 0.3 feet. If a random sample of n = 19 female students is selected, and if X is the sample mean, then find P(X < 5.5).="" (answer="" as="" a="" decimal="" number,="" and="" round="" to="" 3="" decimal="">