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Chapter 4: Q. 82 (page 292)

According to a recent article the average number of babies born with significant hearing loss (deafness) is approximately two per 1,000babies in a healthy baby nursery. The number climbs to an average of 30per 1,000babies in an intensive care nursery.

Suppose that 1,000babies from healthy baby nurseries were randomly surveyed. Find the probability that exactly two babies were born deaf.

Short Answer

Expert verified

The probability that two children were born deaf is0.27094.

Step by step solution

01

Given information

The average number of babies born with significant hearing loss in a healthy baby nursery is approximately two per 1000babies.

02

Explanation

P(X=x)==Cxn脳px脳1-pn-x

n=1000,p=0.002,x=2

P(thatexactlytwobabieswereborndeaf)=C22000脳210002脳9981000998Pthatexactlytwobabieswereborndeaf=0.271

The probability that exactly two babies were born deaf is 0.271

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