In: Statistics and Probability
Assume that females have pulse rates that are normally distributed with a mean of mu equals 73.0 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 69 beats per minute and 77 beats per minute. What is the probability
Given that ,
mean = = 73.0
standard deviation = = 12.5
n = 1
= 73.0
= / n= 12.5/ 1= 12.5
P(69< <77 ) = P[(69-73.0) / 12.5< ( - ) / < (77 -73.0) / 12.5 )]
= P( -0.32< Z <0.32 )
= P(Z <0.32 ) - P(Z <-0.32 )
Using z table
=0.6255-0.3745
=0.2510
probability= 0.2510