Question: 55. Mutual funds reported strong earnings in the first quarter of 2006. The population of mutual funds focusing on Europe had a mean return of 13.3% during this time. Assume that the returns for the Europe mutual funds were distributed as a normal random variable, with a mean of 13.3 and a standard deviation of 12. If you select an individual fund from this population, what is the probability that it would have a return

(a) less than 0 - that is, a loss?

(b) between 0 and 6?

(c) greater than 10?

If you selected a random sample of 10 funds from this population, what is the probability that the sample would have a mean return

(d) less than 0-that is, a loss?

(e) between 0 and 6?

(f) greater than 10?

(g) Compare your results in parts (d) through (f) to (a) through (c).