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Recently, a nurse commented that when a patient calls the medical advice line claiming to have...

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Statistics

Recently, a nurse commented that when a patient calls themedical advice line claiming to have the flu, the chance that he orshe truly has the flu (and not just a nasty cold) is only about 4%.Of the next 25 patients calling in claiming to have the flu, let ?be the number of patients in the sample that actually have theflu.

Explain why ? can be treated as a binomial random variable.

• Identify ? (the number of trials):                  ?= ___________

• Specify (in words) which event would be defined as a“success”

• Explain why the trials may be considered independent:

• Give the value of ? (the probability of success): ? =___________

b) On average, for every 25 patients calling in, how many do youexpect to actually have the flu?

c) What is the probability that exactly 5 of the 25 patientsactually have the flu?

d) What is the probability that at least two of the 25 patientsactually have the flu?

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