AMS394_Midterm-2019Winter.pdf

AMS394_Midterm-2019Winter.pdf - AMS394 Midterm(100 points...

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AMS394 Midterm (100 points) Winter 2019 Instruction: This is an open book exam. However, no communication is allowed between students. Please provide complete codes and conclusions for full credit. Good luck! Question 1 (15 points): (1) Generate 60 normally distributed random variables with the mean 30 and the standard deviation 6, and store them in the vector ‘rand.vec . Then plot their empirical distribution function. (2) Given a normal distribution with the mean 30 and the standard deviation 6, find the two values of x that contain the middle 80% of the normal curve area. (3) Calculate the probability for 3.5 < X < 10 in a Poisson distribution with the mean 6. Question 2 (20 points): (1) Construct the following table that summarizes the number of people who have car accidents in a school. Age Accidents No_Accidents 18-24 33 124 25-29 16 92 30-34 27 107 35-39 5 60 >40 2 30 (2) Use the Chi-Square test to conclude if the group (Accidents and No_Accidents) and the Age range effects are independent. Test by using α= .05.
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