Answered: What is the probability that 5 of the…

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Probability

What is the probability that 5 of the students reported depressive symptoms?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

39. Researchers are concerned about the potential for a rise in adolescent depression in their community. Suppose the research team uses an estimated prevalence of depression among the age demographic of 13-17 year olds as 18%. In order to assess this assumed increase in prevalence, the team collects a sample of 13 teenagers from the community. What is the probability that 5 of the students reported depressive symptoms?

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Expert Solution

Step 1

Let p be the probability that a student reports depressive symptoms. Given that p = 0.18

Let X denotes the number of students report depressive symptoms out of n = 13.

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