In: Statistics and Probability
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 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 the flu.
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 you expect to actually have the flu?
c) What is the probability that exactly 5 of the 25 patients actually have the flu?
d) What is the probability that at least two of the 25 patients actually have the flu?