The height of a Basketball Player is approximately normally distributed with a mean height of 73 inches and a variance of 9 inches^2. What is the approximate probability that a player's height is between 72 and 75 inches?
a).3779
b).7586
c).3779
d).6221
Solution :
Given that ,
mean = = 73
standard deviation = = 3
P(72 < x < 75) = P[(72 - 73)/ 3) < (x - ) / < (75 - 73) / 3) ]
= P(-0.33 < z < 0.67)
= P(z < 0.67) - P(z < -0.33)
= 0.7486 - 0.3707
= 0.3779
Probability = 0.3779
option c). is correct
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