Question

Assume that females have pulse rates that are normally distributed with a mean of mu equals 74.0 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 between 70 beats per minute and 78 beats per minute. The probability is _______

Answer 1

since the distribution is normal wuth mean, u=74 and standard devaition= 12.5 hence using Z formula shown below as

Z at X=70

and Z at 78

so, P( 74<X<78)

=P(-0.32<Z<0.32) is calculated using Z table shown below as

= 0.6255-0.3745

=0.251