In an orthopedic office, the patients ages roughly follow a normal distribution with a mean age...

In an orthopedic office, the patients ages roughly follow a normal distribution with a mean age of 62 years old and a standard deviation of 4.6 years. What is the probability that a patients age is more than 56 years old?

Group of answer choices

0.0968

0.9

0.9032

0.9049

Solutions

Expert Solution

In an orthopedic office, the patient's ages roughly follow a normal distribution with a mean age of 62 years, and a standard deviation of 4.6 years.

So, if X is the random variable denoting the age of a randomly selected patient, then X follows normal distributon with mean 62 and standard deviation of 4.6 years.

So, we can say that Z=(X-62)/4.6 follows standard normal distribution with mean 0 and standard deviation 1.

Now, we have to find the probability that a patient's age is more than 56 years.

So, we have to find

Where, phi is the distribution function of the standard normal variate.

So, the required answer is option (c) 0.9032.

orchestra answered 1 year ago

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