Mathematics, 25.02.2020 21:26 animaljamissofab
Evan's home run hitting distance is normally distributed with a mean of 398 feet and a standard deviation of 28 feet. He wanted to find the probability that his home runs traveled at least 385 feet. He calculated the z-score to be −0.46 and looked up the probability on the Standard Normal Probabilities table. He found that the table stated his probability as 0.3228. Determine whether Evan made an error in his calculation and explain.
A. No, he did not make an error. The table contains incorrect information.
B. Yes, he made an error. He failed to add 1 to the probability, because he was seeking the probability that his home runs travel at least 385 feet. The correct probability is 1.6772.
C. No, he did not make an error. He looked up −0.46 on the table and the probability reads 0.3228.
D. Yes, he made an error. Because he was seeking the probability that his home runs traveled at least 385 feet, he looked up −0.46 and failed to subtract the probability from 1. The correct probability is 0.6772.
E. It cannot be determined whether Evan made an error.
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