A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let 2 be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has be proposed. S(x) = " for e = 1, 2, or 3 a. Consider the required conditions for a discrete probability function, shown below. f(a) 20 (5.1) Ef(#) = 1 (5.2) Does this probability distribution satisfy equation (5.1)? - Select your answer- Does this probability distribution satisfy equation (5.2)? - Select your answer- b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)? c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?

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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 * be a random variable indicating
number of sessions required to gain the patient's trust. The following probability function has been
proposed.
f(t) = " for a = 1, 2, or 3
a. Consider the required conditions for a discrete probability function, shown below.
f(2) 20
(5.1)
Ef(#) = 1
(5.2)
Does this probability distribution satisfy equation (5.1)?
|- Select your answer -
Does this probability distribution satisfy equation (5.2)?
|- Select your answer -
b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)?
c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?
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 * be a random variable indicating number of sessions required to gain the patient's trust. The following probability function has been proposed. f(t) = " for a = 1, 2, or 3 a. Consider the required conditions for a discrete probability function, shown below. f(2) 20 (5.1) Ef(#) = 1 (5.2) Does this probability distribution satisfy equation (5.1)? |- Select your answer - Does this probability distribution satisfy equation (5.2)? |- Select your answer - b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)? c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?
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