# Question: a random sample of n49 observations is drawn from a...

###### Question details

A random sample of n=49 observations is drawn from a population with a mean equal to 49 and a standard deviation equal to 28.

a. Find the probability that x over bar x is less than 41.

b. Find the probability that x over bar x is greater than 59.

c. Find the probability that x over bar x falls between 41 and 57

a. The probability that x over bar x is less than 41 is _______(Round to three decimal places as needed.)

b. The probability that x over bar x is greater than 59 is _________. (Round to three decimal places as needed.)

c. The probability that x over bar x falls between 41 and 57 is _______. (Round to three decimal places as needed.)