# What would I need to do for the following problem?

*label*Statistics

*timer*Asked: Feb 28th, 2015

**Question description**

The mean of a population is 76 and the standard deviation is 16. The shape of the population is unknown. Determine the probability of each of the following occurring from this population

**a.**A random sample of size 36 yielding a sample mean of 79 or more

**b.**A random sample of size 160 yielding a sample mean of between 75 and 77

**c.**A random sample of size 217 yielding a sample mean of less than 76.4