Mathematics, 09.04.2021 22:10 taylorb9893

Alex's home run hitting distance is normally distributed with a mean of 410 feet and a standard deviation of 29 feet. He wanted to find the probability that his home runs traveled at least 375 feet. He calculated the z-score to be −1.21 and looked up the probability on the Standard Normal Probabilities table. He found that the table stated his probability as 0.1131. Determine whether Alex made an error in his calculation and explain. Yes, he made an error. Because he was seeking the probability that his home runs traveled at least 375 feet, he looked up −1.21 and failed to subtract the probability from 1. The correct probability is 0.8869.

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 375 feet. The correct probability is 1.1131.

No, he did not make an error. He looked up −1.21 on the table and the probability reads 0.1131.

No, he did not make an error. The table contains incorrect information.

It cannot be determined whether Alex made an error.

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