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Question 3: 13 Points A normal distribution has a mean = 4 and a standard deviation = 1.58. For the following questions, be sure

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Question 3: 13 Points A normal distribution has a mean = 4 and a standard deviation = 1.58. For the following questions, be sure to include a distribution created in R using tigerstats. a) What is the probability that a score drawn from the distribution at random will be greater than 2.8 (4 marks)? b) What is the probability that a score drawn from the distribution at random will be less than 4.2 or greater than 5.6 (5 marks)? c) What raw score corresponds to the 80th percentile (4 marks)? Question 4: 5 Points a) For a normal population distribution, a score of -8 is .75 standard deviations above the mean and a score of -5 is 1.4 standard deviations above the mean. What is the mean and standard deviation for this population?

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