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'9 The capacity of a lift is 10 people {assumed to be 330 kg in total}. The capacity wil be exceeded if 10 people have

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'9 The capacity of a lift is 10 people {assumed to be 330 kg in total}. The capacity wil be exceeded if 10 people have weights with a mean greater than 380! 10 = 33 ltg. Suppose the people have weights that are normally distributed with a mean of 95 ltg and a standard deviation of 14 kg. Click here to view the standard normal distribution table. {3] Find the probability that if a person is randomly selected, his weight will be greater than 88 kg. The probability is approximately D [Round to two decimal places as needed.) {bi Find the probability that 10 randomly selected people wil have a mean that is greater than 88 kg. The probability is approximately I: . [Round to two decimal places as needed.) [c] Does the lift appear to have the correct weight limit? Why or why not? Q A. No, there is a good chance that '10 randomly selected people will exceed the lift capacity. C) B. Yes, 10 randomly selected people will always be under the weight limit. 0 C. No, 10 randomly selected people will never be under the weight limit. 0 D. Yes, there is a good chance that 10 randomly selected people wil not exceed the lift capacity. Answer the following questions. (a) The random variable x is distributed normally, with x ~ / (90, 121). Find the probability that x > 100. (b) Find P(x 100) =% (Round the final answer to two decimal places as needed. Round all intermediate values to two decimal places as needed.) (b) P(x 64) ?, (ii) what is P(x 64) =% (Round the final answer to two decimal places as needed.) (ii) P(x

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