The Wall Street Journal reported that long term Treasury bonds had a mean return of 24.03% in 2008. Assume that the returns for the long term Treasury bonds were distributed as a normal random variable, with a mean of 24.03 and a standard deviation of 10. If you select an individual Treasury bond from this population, what is the probability that it would have a return
a. less than 0 (a loss)?
b. between 10 and 20 ?
c. greater than 10 ?
If you select a random sample of 4 Treasure bonds from this population, what is the probability that the sample would have a mean return
d. less than 0 (a loss)?
e. between 10 and 20 ?
f. greater than 10 ?
g. Compare your results in parts (d) through (f) to those in parts (a) through (c)