Question

Question Choice Who 0106MC) home runing distance is only distributed with a mean of 998 feet and a standard deviation of 2 eet He wanted to find the probably the home runs traveled at least 3 feet He calculated the score to be -0.45 and looked up the probability on the Standard Noma Probabilities. He found that the started by 0.3220 Delme whether made an inson and in No, he did not make an error The table contains incorrect information 3 Oyhe made an error. He tied to add to the probability because he was seeking the probability that his home runs travel at least 38 feet The correct probably s 15772 No, entre aner Hecked up -0.46 on and the prototyras 3228 Yes he made an error Decame he was on the rationer ved at least 3 teet hevoked up 0 46 and failed to the prom. The correct probably s06772 it cannot be deemed where tvan made an error

Answer 1

Solution:-

Yes, he made an error because ha was seeking the probability that his home run travelled at least 365 feet, he looked up at - 0.45 and failed to subtract the probability from 1. The correct probability is 0.6772.

Mean = 398, S.D = 28

x = 385

By applying normal distribution:-

$z = \frac{x-\mu }{\sigma }$

z = - 0.46

P(z > - 0.46) = 1 - P(z < 0.46)

P(z > - 0.46) = 1 - 0.328

P(z > - 0.46) = 0.6772