Math 3339_Practice_Exam_Attempt_3.pdf

12/2/23, 2:31 PM ccs.casa.uh.edu/cgi-bin/canvas?course=6194_student_aa44749fa1f75b036f817cdf35857716d0862d0826c8f39a7177774371dfb4… https://ccs.casa.uh.edu/cgi-bin/canvas?course=6194_student_aa44749fa1f75b036f817cdf35857716d0862d0826c8f39a7177774371dfb43f&mode=3… 1/15 wait=898177, due=1701842340, due2=0 Question number 1. Your answer was B. Correct. The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.2 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.4. The probability that a randomly selected person has high blood pressure and is a runner is 0.1. Find the probability that a randomly selected person has high blood pressure and is not a runner. A 0.2 B 0.1 C 0.6 D 0.5 E 0.8 F None of the above. Question number 2. Your answer was E. Correct. The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.5 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.2. The probability that a randomly selected person has high blood pressure and is a runner is 0.1. Find the probability that a randomly selected person has high blood pressure, given that he is a runner. A 0 B 0.14

12/2/23, 2:31 PM ccs.casa.uh.edu/cgi-bin/canvas?course=6194_student_aa44749fa1f75b036f817cdf35857716d0862d0826c8f39a7177774371dfb4… https://ccs.casa.uh.edu/cgi-bin/canvas?course=6194_student_aa44749fa1f75b036f817cdf35857716d0862d0826c8f39a7177774371dfb43f&mode=3… 2/15 C 1 D 0.20 E 0.50 F None of the above. Question number 3. Your answer was A. Correct. Which of the following is an example of a data set with 5 values for which the standard deviation is zero. A 4,4,4,4,4 B -5,-3,0,3,5 C -2,-1,0,1,2 D 1,2,3,4,5 Question number 4. Your answer was D. Correct. Given a data set consisting of 33 unique whole number observations, its five-number summary is: How many observations are strictly less than 24?

12/2/23, 2:31 PM ccs.casa.uh.edu/cgi-bin/canvas?course=6194_student_aa44749fa1f75b036f817cdf35857716d0862d0826c8f39a7177774371dfb4… https://ccs.casa.uh.edu/cgi-bin/canvas?course=6194_student_aa44749fa1f75b036f817cdf35857716d0862d0826c8f39a7177774371dfb43f&mode=3… 3/15 A 23 B 7 C 9 D 8 Question number 5. Your answer was D. Correct. Given the following sampling distribution: X -20 -11 2 5 17 P(X) 3 ⁄ 50 1 ⁄ 20 1 ⁄ 20 1 ⁄ 100 ___ What is the mean of this sampling distribution? A 12.6 B −1.4 C 0.1 D 12.5 E 12.7 F None of the above

12/2/23, 2:31 PM ccs.casa.uh.edu/cgi-bin/canvas?course=6194_student_aa44749fa1f75b036f817cdf35857716d0862d0826c8f39a7177774371dfb4… https://ccs.casa.uh.edu/cgi-bin/canvas?course=6194_student_aa44749fa1f75b036f817cdf35857716d0862d0826c8f39a7177774371dfb43f&mode=3… 4/15 Question number 6. Your answer was E. Correct. In testing a certain kind of missile, target accuracy is measured by the average distance X (from the target) at which the missile explodes. The distance X is measured in miles and the sampling distribution of X is given by: X 0 10 50 100 P(X) 1 ⁄ 32 1 ⁄ 16 1 ⁄ 8 25 ⁄ 32 Calculate the variance of this sampling distribution. A 85.0 B 4766.7 C 30.1 D 302.1 E 906.3 F None of the above Question number 7. Your answer was D. Correct. In testing a new drug, researchers found that 2% of all patients using it will have a mild side effect. A random sample of 15 patients using the drug is selected. Find the probability that exactly two will have this mild side effect. A 0.07230

12/2/23, 2:31 PM ccs.casa.uh.edu/cgi-bin/canvas?course=6194_student_aa44749fa1f75b036f817cdf35857716d0862d0826c8f39a7177774371dfb4… https://ccs.casa.uh.edu/cgi-bin/canvas?course=6194_student_aa44749fa1f75b036f817cdf35857716d0862d0826c8f39a7177774371dfb43f&mode=3… 5/15 B 0.05230 C 0.04230 D 0.03230 E 0.08230 F None of the above Question number 8. Your answer was D. Correct. Let X be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cdf is represented by Use the cdf to determine P(X ≥ 5 ⁄ 2 ). A 0.4613 B 0.9225 C 0.1216 D 0.8750 E 0.1250 F None of the above

12/2/23, 2:31 PM ccs.casa.uh.edu/cgi-bin/canvas?course=6194_student_aa44749fa1f75b036f817cdf35857716d0862d0826c8f39a7177774371dfb4… https://ccs.casa.uh.edu/cgi-bin/canvas?course=6194_student_aa44749fa1f75b036f817cdf35857716d0862d0826c8f39a7177774371dfb43f&mode=3… 6/15 Question number 9. Your answer was A. Correct. Let X be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cdf is represented by Use the cdf to determine E[X]. A 2.25 B 1.00 C 4.50 D 1.50 E 3.00 F None of the above Question number 10. Your answer was D. Correct. Find a value of c so that P(Z ≥ c) = 0.47. A 0.12

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