Is this probability function valid? Explain. а. b. What is the probability that it takes exactly two sessions to gain the patient's trust? What is the probability that it takes at least two sessions to gain the patient's trust? с.

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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 re-
quired to gain the patient's trust. The following probability function has been proposed.
f(x) =
for x = 1, 2, or 3
6.
Is this probability function valid? Explain.
b. What is the probability that it takes exactly two sessions to gain the patient's trust?
с.
What is the probability that it takes at least two sessions to gain the patient's trust?
Transcribed Image Text: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 re- quired to gain the patient's trust. The following probability function has been proposed. f(x) = for x = 1, 2, or 3 6. Is this probability function valid? Explain. b. What is the probability that it takes exactly two sessions to gain the patient's trust? с. What is the probability that it takes at least two sessions to gain the patient's trust?
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