Question

A psychologist determined that the number of sessions required to obtain the trust of a new
patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions required
to gain the patient’s trust. The following probability function has been proposed.
?(?) =
?
6
??? ? = 1,2, ?? 3
a) Construct a probability distribution for the number of sessions required to gain the patient’s
trust.
b) Is this probability function valid? Explain.
c) What is the probability that it takes at least 2 sessions to gain the patient’s trust?
d) What are the mean and variance for x? Please provide SYNTAX if you are using calculator to
find mean and variance.

Answer 1