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Probability using the discrete probability distribution.

A psychologist determined that the number of sessions required to obtain the trust of a new patient is 1, 2, and 3. Let x be the random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed.
p(x) = for x=1, 2, or 3

a) Is this probability function valid? Explain

b) What is the probability that it takes exactly 2 sessions to gain the patient's trust?

c) What is probability that it takes at least 2 sessions to gain the patient's trust?

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