Question

Assume that females have pulse rates that are normally distributed with a mean of mu equals 75.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. Complete parts​ (a) through​ (c) below. a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is less than 78 beats per minute. Answer: .5948 b. If 16 adult females are randomly​ selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. Answer:

Answer 1

Solution :

Given that ,

a.

P(x < 78) = P[(x - ) / < (78 - 75.0) / 12.5]

= P(z < 0.24)

= 0.5948

Probability = 0.5948

b.

= / n = 12.5 / 16 = 3.125

P( < 78) = P(( - ) / < (78 - 75.0) / 3.125)

= P(z < 0.96)

= 0.8315

Probability = 0.8315