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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 z be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed. S(2) = for a 1,2, or 3 a. Consider the required conditions for a discrete probability function, shown below. f(z) 20 (5.1) Ef(z) = 1 (5.2) Does this probability distribution satisfy equation (5.1)? Yes, all probability function values are greater than or equal to 0 Does this probability distribution satisfy equation (5.2)? Yes, the sum of all probability function values equals 1 b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)? 0.5 c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?

A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let z be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed. S(2) = for a 1,2, or 3 a. Consider the required conditions for a discrete probability function, shown below. f(z) 20 (5.1) Ef(z) = 1 (5.2) Does this probability distribution satisfy equation (5.1)? Yes, all probability function values are greater than or equal to 0 Does this probability distribution satisfy equation (5.2)? Yes, the sum of all probability function values equals 1 b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)? 0.5 c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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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 z be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed. S(2) = for 1,2, or 3 a. Consider the required conditions for a discrete probability function, shown below. f(z) 20 (5.1) Ef(z) = 1 (5.2) Does this probability distribution satisfy equation (5.1)? Yes, all probability function values are greater than or equal to 0 Does this probability distribution satisfy equation (5.2)? Yes, the sum of all probability function values equals 1 b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)? 0.5 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 z be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed. S(2) = for 1,2, or 3 a. Consider the required conditions for a discrete probability function, shown below. f(z) 20 (5.1) Ef(z) = 1 (5.2) Does this probability distribution satisfy equation (5.1)? Yes, all probability function values are greater than or equal to 0 Does this probability distribution satisfy equation (5.2)? Yes, the sum of all probability function values equals 1 b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)? 0.5 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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