You need to do problem 5 by hand/using tables. Problem 5: Researchers are concer

Question

You need to do problem 5 by hand/using tables.

Problem 5: 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 10 teenagers from the community.

a) What is the expected number of adolescents to report depressive symptoms?

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

Explanation / Answer

A) X follow.binomial distribution with parameter n =10,p=0.18

E(X)=np=1.8

B) p(x =k)=nCk*p^k*q^(n-k)

P(X=5) =10C5*0.18^5*0.82^5

=0.01765356123

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