Find the probability that the mean amount of black carbon emissions

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Find the probability that the mean amount of black carbon emissionsOn a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure below. Use this information in Exercises 16-21 Braking Distance of a Sedan u 132 ft ơ-4.53 ft 115 120 125 130 135 140 145 Braking distance (in feet) 16. Find the braking distance of a sedan that corresponds to z2.75. 17. Find the braking distance of a sedan that corresponds to z-1.6. 18. What braking distance of a sedan represents the 90th percentile? 19. What braking distance of a sedan represents the first quartile? 20. What is the shortest braking distance of a sedan that can be in the top 15% of braking distances? 21. What is the longest braking distance of a sedan that can be in the bottom 20% of braking distances? In Exercises 22-23, find the indicated probabilities and interpret the results 22. Refer to Exercise 15. A random sample of 2 years is selected. Find the probability that the mean amount of black carbon emissions for the sample is (a) less than 12.3 gigagrams per year, (b) between 15.4 and 19.6 gigagrams per year, and (c) greater than 17.7 gigagrams per year Compare your answers with those in Exercise 15. 23. The mean ACT composite score in a recent year is 20.8. A random sample of 36 ACT composite scores is selected. What is the probability that the mean score for the sample is (a) less than 21.6, (b) more than 19.8, and (c) between 20.5 and 21.5? Assume ơ-5.6. (Source: ACT, Inc)  

Research of Machine Learning

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Research: Why Predictive data mining requires supervised learning (2-peer reviewed sources)

Research: What does supervised learning imply, and how, if any, can the time required for supervised learning be lessened. (2-peer reviewed sources)

Research: Decision trees, neural networks, Bayesian probability machine learning.
(2 peer-reviewed sources)

Research of Machine Learning

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Research: Why Predictive data mining requires supervised learning (2-peer reviewed sources)

Research: What does supervised learning imply, and how, if any, can the time required for supervised learning be lessened. (2-peer reviewed sources)

Research: Decision trees, neural networks, Bayesian probability machine learning.
(2 peer-reviewed sources)

This quiz is due on wednesday of week four by

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This quiz is due on Wednesday of week four by 11:59 pm.  Late assignments will not be accepted and will receive a zero.  You have one opportunity to upload files for this quiz. 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. 
This quiz does not require word or excel.  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.