Consider the continuous uniform distribution.
a. Why would you use this to model the distribution of ages ofpeople between the ages of 0 and 50 years in the United States?
b. Why would this likely not be a good distribution to usebeyond about 50 years of age?
c. Is this distribution characterized as a PMF or PDF?Explain.
d. What is the mean age? Show your calculation.
e. What is the standard deviation? Show your calculation.
f. What is the probability that a person will be exactly 30years of age? Explain your answer.
g. What is the probability that a person will be between ages 30and 31? Show your calculation.