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Chapter 4: Q6 (page 178)

In Exercises 6鈥�10, use the following results from tests of an experiment to test the effectiveness of an experimental vaccine for children (based on data from USA Today). Express all probabilities in decimal form.


Developed Flu

Did not develop Flu

Vaccine Treatment

14

1056

Placebo

95

437

If 1 of the 1602 subjects is randomly selected, find the probability of getting 1 that developed flu.

Short Answer

Expert verified

The probability that the subject develops flu is 0.0680.

Step by step solution

01

Given information

The data is tabulated for the effectiveness of the vaccine.

One subject is randomly selected.

02

Describe the probability of any event

A measure that can determine the likelihood of events is known as probability.

For any event E, the mathematical formula of probability is:

PE=NumberoffavorableoutcomesTotalnumberofoutcomes

03

Tabulate the row and column totals

The row and column totals are computed as follows.


Developed Flu

Did not develop Flu

Totals

Vaccine Treatment

14

1056

1070

Placebo

95

437

532

Total

109

1493

1602

04

Compute the probability of the event

Define an event E that the randomly selected subject developed flu.

Using the tabulated values, compute the probability as follows:

The number of subjects who developed flu is 109.

The total number of subjects recorded is 1602.

So, the probability that the subject developed flu is:

PE=1091602=0.06804鈮�0.0680

Thus, the probability that the randomly selected subject developed flu is 0.0680.

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Most popular questions from this chapter

In Exercises 25鈥�32, find the probability and answer the questions.. Guessing Birthdays On their first date, Kelly asks Mike to guess the date of her birth, not including the year.

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