During certain periods at a hospital, patients arriving at the emergency room ha

Question

During certain periods at a hospital, patients arriving at the emergency room have waiting times that are uniformly distrubuted between 0 and 5 minutes. Assume that a patient is randomly selected, and find the probability that the waiting time is less than 3.75 minutes.

Find the probability that a randomly selected patient has a waiting time less than 3.75 minutes. (simplify your answer. Round to three decimal places as needed.)

During certain time periods at a hospital, patients ariving at the emergency room have waiting times that are uniformly distributed between 0 and 5 minutes. Assume that a patient is randomly selected, and find the probabil ity that the waiting time is less than 3.75 minutes. Find the probability that a randomly selected patient has a waiting tme less than 3.75 minutes. L (simplify your answer. Round to three decimal places as needed.)

Explanation / Answer

In this case of uniform distribution, the lower value a=0 and the higher value b=5

thus for P(x<p) the probability is (p-a)/(b-a)

thus P(x<3.75)=(3.75-0)/(7-0)=0.536

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