Use the following information for the question. Male players at the high school, college and professional ranks use a regulation basketball that weighs 22.0 ounces with a standard deviation of 1.0 ounce. Assume that the weights of basketballs are approximately normally distributed.
-If a regulation basketball is randomly selected, what is the probability that it will weigh between 19.5 and 22.5 ounces? Round to the nearest thousandth.
A)0.315
B)0.723
C)0.685
D)0.547

Question

Quizplus · Accepted Answer

To find the probability, calculate the z-scores for 19.5 and 22.5 ounces. The z-score for 19.5 is (19.5-22)/1 = -2.5, and for 22.5 is (22.5-22)/1 = 0.5. Using the standard normal distribution table, the probability for z = -2.5 is 0.0062 and for z = 0.5 is 0.6915. The probability of the basketball weighing between 19.5 and 22.5 ounces is 0.6915 - 0.0062 = 0.6853, rounded to 0.685.

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