Find the probability that a male has a pulse rate less than 60 beats per minute. Mean 69.6 and standard deviation 11.3. Draw a density curve for each case with x value and z score in it.

Answer 1

x = pulse rate is normally distributed with mean 69.6 and SD 11.3

z = (x - mean)/SD = (x - 69)/11.3 is normally distributed with mean 0 and SD 1

want to find P(x < 60)

transform above inequality using formula for z:

P(x < 60) = P(z < (60-69)/11.3) = P(z < -0.796) = 0.213