### Understanding Probability Distribution for Patient TrustA 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:\[ f(x) = \frac{x}{6} \quad \text{for } x = 1, 2, \text{ or } 3 \]#### a. Conditions for a Discrete Probability FunctionConsider the required conditions for a discrete probability function, shown below:1. \( f(x) \geq 0 \) *Equation (5.1)* 2. \(\sum f(x) = 1 \) *Equation (5.2)*- **Does this probability distribution satisfy equation (5.1)?** [Dropdown option: Yes/No]- **Does this probability distribution satisfy equation (5.2)?** [Dropdown option: Yes/No]#### b. Probability for Exactly 2 SessionsWhat is the probability that it takes exactly 2 sessions to gain the patient’s trust (to 3 decimals)?\[ \text{Probability} (x=2) = \frac{2}{6} = 0.333 \]#### c. Probability for At Least 2 SessionsWhat is the probability that it takes at least 2 sessions to gain the patient’s trust (to 3 decimals)?\[ \text{Probability} (x \geq 2) = f(2) + f(3) = \frac{2}{6} + \frac{3}{6} = 0.333 + 0.500 = 0.833 \]This framework allows students and educators to assess how well a proposed probability function meets theoretical criteria and calculate specific probabilities for decision-making.

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Description: ### Understanding Probability Distribution for Patient TrustA 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

Given: fX(x)=x6 , x = 1, 2, 3 Part a: We have fX(1)=16>0 , x=1…

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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 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 a. Consider the required conditions for a discrete probability function, shown below. f(æ) > 0 (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)?

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 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 a. Consider the required conditions for a discrete probability function, shown below. f(æ) > 0 (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)?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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