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Chapter 4: Q. 86 (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.

On average, for every25patient calling in, how many do you expect to have the flu?

Short Answer

Expert verified

On average, for every 25patients calling in, we expect1to have the flu.

Step by step solution

01

Introduction 

A series of independent identically distributed Bernoulli trials make up the binomial distribution.

The experiment in a Bernoulli trial is said to be random, with only two possibilities: success or failure.

02

Explanation 

We may compute the expected value of variable Xas follows: Since variable Xhas a binomial distribution with 25trials and a probability of success of 0.04, we can determine the expected value of variableX as follows:

25脳0.04=1

As a result, we estimate only one flu patient out of every 25patients that phone in.

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Most popular questions from this chapter

An electronics store expects to have ten returns per day on average. The manager wants to know the probability of the store getting fewer than eight returns on any given day. State the probability question mathematically.

Construct a probability distribution table for the data.

A gross of eggs contains 144 eggs. A particular gross is known to have 12 cracked eggs. An inspector randomly chooses 15 for inspection. She wants to know the probability that, among the 15, at most three are cracked. What is X, and what values does it take on?

Suppose that 20,000 married adults in the United States were randomly surveyed as to the number of children they have. The results are compiled and are used as theoretical probabilities. Let X = the number of children married people have.

a. Find the probability that a married adult has three children.

b. In words, what does the expected value in this example represent?

c. Find the expected value.

d. Is it more likely that a married adult will have two to three children or four to six children? How do you know?

At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 25 fencers at The Fencing Center. We are interested in the number of fencers who do not use the foil as their main weapon.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _____(_____,_____)

d. How many are expected to not to use the foil as their main weapon?

e. Find the probability that six do not use the foil as their main weapon.

f. Based on numerical values, would you be surprised if all 25 did not use foil as their main weapon? Justify your answer numerically.
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