STAT-200-Week-4-Homework-Problems.docx - STAT 200 Week 4 Homework Problems Correct Answers with no work shown or partial work shown to justify the

STAT-200-Week-4-Homework-Problems.docx - STAT 200 Week 4...

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STAT 200 Week 4 Homework Problems Correct Answers with no work shown or partial work shown to justify the answer is graded at 50%. 1.) The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during peak rush hour periods of ten minutes ("2012 annual report," 2012). a.) State the random variable. b.) Find the height of this uniform distribution. c.) Find the probability of waiting first five minutes. d.) Find the probability of waiting between two and eight minutes. e.) Find the probability of waiting five minutes exactly. 2. Find the z -score corresponding to the given area. Remember, z is distributed as the standard normal distribution with mean of m = 0 and standard deviation s = 1 . a.) The area to the left of z is 10%. b.) The area to the left of z is 65%. c.) The area to the right of z is 15%. d.) The area to the right of z is 25%. e.) The area between - z and z is 95%. (Hint draw a picture and figure out the area to the left of the - z .) f.) The area between - z and z is 68%. 3. According to the WHO MONICA Project the mean blood pressure for people in China is 120 mmHg with a standard deviation of 25 mmHg (Kuulasmaa, Hense & Tolonen, 1998). Assume that blood pressure is normally distributed. a.) State the random variable. b.) Find the probability that a person in China has blood pressure of 135 mmHg or more. c.) Find the probability that a person in China has blood pressure of 141 mmHg or less. d.) Find the probability that a person in China has blood pressure between 120 and 125 mmHg. e.) Is it unusual for a person in China to have a blood pressure of 135 mmHg? Why or why not?
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