Question

4. The average height of the 140 million U.S. males is 5 ft. and 10 in. Some males from the U.S. become professional basketball players. The average height of the 350–450

professional basketball players in the NBA (National Basketball Association) is about 6 ft. and 7 in. Which of the following probabilities should be larger? Or would they be similar?
 The probability that a U.S. male over 6 ft. tall is a professional basketball player
 The probability that a professional basketball player is over 6 ft. tall
Explain your reasoning.

Answer 1

The probability that a professional basketball player is over 6 ft. tall should be large

Explanation:

Data provided in the question:

5 ft. and 10 in is average height of the 140 million U.S. males

Average height of the 350–450 professional basketball players in the NBA = 6 ft. and 7 in

Now,

The probability that professional basketball player is over 6 ft. tall will be large as the sample size is very less as compared to the citizen and average person is taller than 6 ft

While, probability that a U.S. male over 6 ft. tall is a professional basketball player will be a small number because not most of many of the tall men are in the NBA.

hence,

The probability that a professional basketball player is over 6 ft. tall should be large