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Math 1107 1. (5 points) An experiment studies the ages of KSU students. This variable is a. quantitative b. qualitative 2. (5 points) An experiment studies the color of cars of KSU students. This variable is a. quantitative b. qualitative 3. (5 points) An experiment studies the number of times Kennesaw State University students stop at a particular convenience store each month. This variable is a. discrete b. continuous 4. (5 points) According to the empirical rule, the percentage of data that will fall within 3 standard deviations of the average in a normal distribution is approximately a. 75% b. 89% c. 90% d. 95% e. 99% 5. (5 points) In Professor Smith's statistics class, the first test has an average grade of 68 and a median grade of 72. Professor Smith then curves each test score up by adding 10 points to each test. What is the median of the curved test scores? a. 68 b. 72 c. 77 d. 78 e. 82 6. (5 points) An experiment consists of randomly selecting a Kennesaw State University student. Let event A be the event that a freshman is selected. Let event B be the event that a woman is selected. Events A and B are a. mutually exclusive b. not mutually exclusive 7. (5 points) In the following table, the relative frequency of the number of A's on the exam is
a. 8% b. 16% c. 23% d. 32% e. 46% 8. (5 points) The frequencies of scores on a particular test fall into the classes as given below.
The median of the test scores could be
a. I only b. II only c. I and II d. II and III e. I, II and III 9. (5 points) For each weekly trip to the grocery store, Lisa spends an average of $63 with a standard deviation of $7. Approximately, what percentage of the trips does Lisa spend between $49 and $77 at the grocery store? a. at least 75% b. at least 89% c. 90% d. 95% e. 99% 10. (5 points) Which of the following cannot be probabilities?
a. I only b. I and II only c. I and III only d. II and III only e. I, II and III 11. (5 points) John's desk contains 18 different pens. When randomly selecting a pen, the probability that John selects a pen with black ink is approximately 28%. How many pens with black ink does John's desk contain? a. 8 b. 6 c. 4 d. 3 e. none of the above 12. (5 points) Consider a sample with a. -4.7 b. -0.65 c. 25.18 d. 33.84 e. none of the above 13. (5 points) An experiment consists of flipping a fair coin and then rolling one die. The probability of seeing a H and a number greater than or equal to 5 is a. 1/6 b. 1/4 c. 3/8 d. 5/6 e. none of the above 14. (5 points) The probability that Catherine surfs the Internet on any given Monday is 34%. The probability that Catherine listens to the radio on any given Monday is 52%. These events are independent. What is the probability that Catherine will surf the Internet and listen to the radio this Monday? a. 0.86 b. 0.8232 c. 0.6832 d. 0.3168 e. 0.1768 15. (5 points) The probability that Catherine surfs the Internet on any given Monday is 34%. The probability that Catherine listens to the radio on any given Monday is 52%. These events are independent. What is the probability that Catherine will neither surf the Internet nor listen to the radio this Monday? a. 0.86 b. 0.8232 c. 0.6832 d. 0.3168 e. 0.1768 16. (5 points) The probability that Catherine watches television at 8 PM on any given Monday is 23%. The probability that Catherine reads a book at 8 PM on any given Monday is 17%. What is the probability that Catherine will watch television or read a book at 8 PM this Monday? You may assume that Catherine does not read while watching television. a. 40% b. 34% c. 6% d. 3.9% e. none of the above 17. (5 points) a. 20,736 b. 495 c. 355 d. 48 e. 16 18. (5 points) A die is independently rolled 5 times. What is the probability that the number 3 does not appear on any of the five dice? a. b. c. d. e.
19. (5 points) An experiment consists of rolling a pair of fair dice. Let event A be the event that the sum is 11. Let event B be the event that the sum is at least 9. Compute P(A|B). a. 1/11 b. 1/5 c. 1/4 d. 4/11 e. 1 f. none of the above 20. (5 points) Consider the sample
Bonus! (5 points) Consider events A and B such that P(A)=.7, P(B)=.4 and P(A or B)=.82. Are events A and B independent? Explain.
Bonus! (5 points) A class has 2 quizzes, a mid-term and a final. Each quiz counts half as much as the mid-term and the final counts 3 times as much as the mid-term. What is Mark's final grade if his scores are
Bonus! (5 points)A student experiences difficulties with malfunctioning alarm clocks. Instead of using 1 alarm clock, he decides to use 3 that function independently of one another. What is the probability that at least 1 alarm clock works correctly if each alarm clock has a 98% chance of working correctly?
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and s=7.2. The z-score
for the observation x=30 is
. The standard
deviation of the sample is