Question

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.
   

Answer 1

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