30. Suppose the weight of linebackers in the National Football League (NFL) is normally distributed with a mean of 245 pounds and a standard deviation of 5.2 pounds. a. What is the probability that a randomly selected NFL linebacker will weight less than 250 pounds? Round your z value(s) to two decimal places. Do not round any other intermediate calculations. Round your answer to four decimal places. Probability = ???? b. What is the probability that a randomly selected NFL linebacker will weight more than 235 pounds? Round your z value(s) to two decimal places. Do not round any other intermediate calculations. Round your answer to four decimal places. Probability = ???? c. What is the probability that a randomly selected NFL linebacker will weight between 237 pounds and 247 pounds? Round your z value(s) to two decimal places. Do not round any other intermediate calculations. Round your answer to four decimal places. Probability = ????
Added by Matthew L.
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Given: mean = 245 pounds, standard deviation = 5.2 pounds, weight = 250 pounds \[ z = \frac{250 - 245}{5.2} = 0.96 \] Show more…
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