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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

In the following problems, use a normal approximation to the binomial.

Drugs The probability that a certain drug will lower cholesterol significantly is 0.82. If the drug is administered to 1000 patients, what is the probability that more than 800 will have significantly lower cholesterol?

To determine

To calculate: The probability that more than 800 patients out of 1000 will have significantly lower cholesterol.

Explanation

Given Information:

The probability that a certain drug will lower cholesterol significantly is 0.82 and the more than 800 patients out of 1000 will have significantly lower cholesterol.

Formula used:

For a binomial distribution,

Mean is μ=np and standard deviation is,

σ=npq.

The zscore is,

z=xμσ

Where, q=1p.

Where n the number of trials, p is the probability of success, and q is the probability of failure.

Calculation:

Consider the probability that a certain drug will lower cholesterol significantly is,

p=Pr(success)=0.82

Then the mean is,

μ=np=1000(0.82)=820

And the probability of failure is q=1p.

q=10.82=0

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