According to the International Basketball Federation (FIBA) rules, the circumfer

Question

According to the International Basketball Federation (FIBA) rules, the circumference of a regulation men’s basketball should be on average 30 inches with a standard deviation of .35. Assume that the circumferences of basketballs are approximately normally distributed.

a) What is the probability that a randomly selected basketball would have a circumference less than 29 inches? Include what you typed into your calculator and shade in the correct area on the curve below (make sure to label the tic marks). Round your answer to the nearest hundredth.

Explanation / Answer

For X=29,

Z=(x-mu)/sigma

=(29-30)/0.35

=-2.85

Thus, the probability that a randomly selected basketball would have a circumference less than 29 inches is:

P(X<29)

=P(z<-2.85)

=0.0022

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