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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

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BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

The table gives the percent of women who become pregnant during 1 year of use with different types of contraceptives. The “Typical Use” column includes failures from incorrect or inconsistent use. Use this table in Problems 17-19.

Failure Rates Over 1 Year

ContraceptiveType Correct and Consistent Use Typical Use
Spermicides 6% 21%
Diaphragm 6 18
Male latex condom 3 12
Unprotected N/A 85

Source: R. A. Hatcher, J. Trussel, F. Stewart, et al., Contraceptive Technology, Irvington Pub.

If spermicides and male latex condoms are used correctly by a group of 30 couples, how many of the 30 women could be expected to become pregnant in a year? Assume that these uses are independent events.

To determine

To calculate: The expected number of women out of 30 women to become pregnant if they use spermicide and male latex condoms correctly. The tabulated data is shown below:

Contraceptive TypeCorrect and consistent useTypical UseSpermicides6%21%Diaphragm618Male latex condom312UnprotectedN/A85

Explanation

Given Information:

The tabulated data for the number of women to become pregnant is shown below:

Contraceptive TypeCorrect and consistent useTypical UseSpermicides6%21%Diaphragm618Male latex condom312UnprotectedN/A85

Formula used:

The expected value for a discrete random variable x is:

E(x)=xPr(x)

Where Pr(x) is the probability of success.

Calculation:

There are a group of 30 women during the I year,

x=30

From the provided table in the column of the correct and consistent, the value of spermicide and male latex condoms are 6% and 3% respectively

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