7. An automobile insurer studied the number of claims' filed by their policyholders each year. The results are as follows:
Number of claims (X)
2
P(X)
.10
0
.61
.18
3
.08
4
.03
a. There are two properties that let you know this is a discrete probability distribution. What are they?
What is the probability that a randomly selected policyholder files two claims?
b.
c. What is the probability that a randomly selected policyholder files more than one claim?
d.
What is the probability that a randomly selected policyholder files at most two claims?
That is the mean number of claims filed by a policyholder?
e.
f. What is the shape of this discrete probability distribution?