Question

During certain time periods at a​ hospital, patients arriving at the emergency room have waiting times that are uniformly distributed between 0 and 6 minutes. Assume that a patient is randomly​ selected, and find the probability that the waiting time is greater than 1.25 minutes.

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Find the probability that a randomly selected patient has a waiting time greater than 1.25 minutes.

Answer 1

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Step-by-step explanation:

The probability that a randomly selected patient has a waiting time greater than 1.25 minutes is 0.75. This is because the waiting time is uniformly distributed between 0 and 6 minutes, and 1.25 minutes is one quarter (1/4) of the way between 0 and 6 minutes. Therefore, three quarters (3/4) of the waiting times will be greater than 1.25 minutes.