A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let a be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed. f(x)= for a = 1, 2, or 3 %3D a. Consider the required conditions for a discrete probability function, shown below. f(z) > 0 (5.1) Ef(x) = 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)?

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter17: Making Decisions With Uncertainty
Section: Chapter Questions
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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 required to gain the patient's trust. The following probability function has been proposed.
f(x) =
7
for æ = 1,2, or 3
6
%3D
%3D
a. Consider the required conditions for a discrete probability function, shown below.
f(x) > 0
(5.1)
Ef(x) = 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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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 required to gain the patient's trust. The following probability function has been proposed. f(x) = 7 for æ = 1,2, or 3 6 %3D %3D a. Consider the required conditions for a discrete probability function, shown below. f(x) > 0 (5.1) Ef(x) = 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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