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7/27/16, 12 : 35 PM Print Test Page 5 of 7 one was breaking into the home. The security alarm failedto go off 2% of the time when someone wasreally breaking into the home. Part a:What is the probability that a home has been broken into and the alarm went off?Part b:What is the probability that any randomly selected alarm goes off? Part c:If an alarm is going off, what is the probability that the house was broken into? a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 9 Your answer is CORRECT. This is a written question, worth 13 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 994Suppose you have a distribution, X, with mean = 24 and standard deviation = 2.8. Define a new randomvariable Y = 5X + 3. Part a: Find the mean of Y. Part b: Find the variance of Y. Part c: Find the standard deviation of Y. a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 10 Your answer is CORRECT. This is a written question, worth 13 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 1092 The test grades for a certain class were entered into R-Studio, and then the summary command was executed. The results were: Min. 1st Qu. Median Mean 3rd Qu. Max.
7/27/16, 12:35 PMPrint Test3267.9280.577.0090.08100You happened to see, on a scrap of paper, that the four lowest grades were 32, 41, 48, 53 but you do notknow what the other individual grades are. You also know that there are 30 students in this class. (a) Write a brief description of what the results tell you about the distribution of grades. Be sure toaddress the shape of the distribution, whether or not there may be outliers and any significance in thedifference between the mean and the median. (b) Construct a boxplot for the test grades. Page 6 of 7

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• Fall '08
• Staff