math question 4

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Showing detailed work and writing detailed explanations is required. I reserve the right to subtract points if I can not see how you arrived at your answer even if your answer is correct. I reserve the right to subtract points if you do not write responses in complete, coherent, and grammatically correct sentences.

All problems are to be computed by hand with work shown. Then take a picture or scan your work in and upload it. If you choose to you may type your work up in word.

Question 1: The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with a mean of 266 days and standard deviation of 16 days.

· What percent of pregnancies last less than 240 days?

· What percent of pregnancies last between 240 days and 270 days?

· How long do the longest 20% of pregnancies last?

Question 2: A federal report find that a lie detector test given to truthful persons have a probability of 0.2 of suggesting that the person is deceptive. A company asks 12 job applicants to take a lie detect test. Suppose that all 12 applicants answer truthfully.

· What is the probability that exactly one is being deceptive.

· What is the probability that at most one is being deceptive.

· What is the mean and standard deviation of this distribution.