Question

In: Statistics and Probability

Women have pulse rates that are normally distributed with a mean of 78.1 beats per minute...

  1. Women have pulse rates that are normally distributed with a mean of 78.1 beats per minute and a standard deviation of 11.1 beats per minute.
    a. Find P1 and P99
    b. A doctor sees exactly 30 patients each day. Find the probability that 30 randomly selected women have a mean pulse rate between 57 and 93 beats per minute.

Solutions

Expert Solution

Let X denotes the pulse rate of a randomly selected woman.

X ~ Normal(78.1, 11.12)

a) To find P1 such that

To find P99 such that

b) Let denotes the mean pulse rate for 30 randomly selected women.

or

Now,

The probability that 30 randomly selected women have a mean pulse rate between 57 and 93 beats per minute


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