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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:

25×0.04=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

A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car will be 28%. We are interested in the number of dealerships she must call.

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. On average, how many dealerships would we expect her to have to call until she finds one that has the car?

e. Find the probability that she must call at most four dealerships.

f. Find the probability that she must call three or four dealerships

Find the probability that Javier volunteers for at least one event each month.

P(x>0)=_______

Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is given in Table 4.31.

a. In words, define the random variable X.

b. What does it mean that the values zero, one, and two are not included for x in the PDF?

Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.

What values does Xtake on?

We know that for a probability distribution function to be discrete, it must have two characteristics. One is that the sum of the probabilities is one. What is the other characteristic?

Use the following information to answer the next five exercises: Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events 35%of the time, four events 25%of the time, three events 20%of the time, two events 10%of the time, one event 5%of the time, and no events 5% of the time.

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