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Chapter 4: Q. 85 (page 292)

Use the following information to answer the next four exercises. Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about4%. Of the next 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu.

Find the probability that at least four of the 25patients actually have the flu.

Short Answer

Expert verified

The chance of at least four out of every 25 patients getting the flu is 0.0165.

Step by step solution

01

Given information

The total number of people polled was 25.

The probability of being chosen and having flu is 0.04.

02

Explanation

=PX鈮�4=1-PX<4=1-PX=0+PX=1+PX=2+PX=3=1-25!0!25-0!脳0.040+25!1!25-1!脳0.041+25!2!25-2!脳0.042+25!3!25-3!脳0.043=0.0165

Because finding that manually more than equal to will take a long time and effort, we deduct the likelihood that X is less than 3 because the sum of all probabilities for a random variable is1.

The chance of at least four out of every 25patients getting the flu is 0.0165.

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