1. If the variance of a probability was computed to be 3.6 grams, what is the standard deviation? A. 0.6 B. 1.9 C. 6.0 D. 12.96 2. On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are to be selected at random for a special in- depth study on absenteeism. What is the probability of selecting 10 production employees at random on a hot summer day and finding that none of them are absent? A. 0.002 B. 0.344 C. 0.599 D. 0.100 E. 0.630 3. Carlson Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks of the purchase date. Their records reveal that 10 percent of the diamond wedding rings are returned. Five different customers buy five rings. What is the probability that none will be returned? A. 0.250 B. 0.073 C. 0.590 D. 0.500 E. 0.372 4. Sixty percent of the customers of a fast food chain order the Whopper, French fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered? A. 1,000 B. 0.186 C. 0.403 D. 0.000 5. Which is true for a binomial distribution? A. There are three or more possible outcomes. B. Probability of success remains the same from trial to trial. C. Value of p is equal to 1.50. D. Value of p is equal to 0.5. 6. i. A binomial distribution has a characteristic that an outcome of an experiment is classified into one of two mutually exclusive categories (a success or a failure). ii. A binomial distribution has the characteristic that the probability of a success stays the same for each trial, but the probability of a failure varies from trial to trial. iii. The mean of a binomial probability distribution can be determined by multiplying the probability of a failure by the number of trials. A. (i), (ii), and (iii) are all correct statements. B. (i) is a correct statement but not (ii) or (iii). C. (i) and (iii) are correct statements but not (ii). D. (ii) and (iii) are correct statements but not (i). E. (i), (ii), and (iii) are all false statements. i. The probability of a particular outcome, designated X, must always be between 0 and 100 inclusive. ii. A random variable is a quantity resulting from a random experiment that can assume different values by chance. iii. The mean of a probability distribution is referred to as its expected value. A. (i), (ii), and (iii) are all correct statements. B. (i) is a correct statement but not (ii) or (iii). C. (i) and (iii) are correct statements but not (ii). D. (ii) and (iii) are correct statements but not (i). E. (i), (ii), and (iii) are all false statements If n = 100 and p= 1/5, determine the mean and standard deviation of this binomial distribution. A. 20, 16 B. 20, 4 C. 500, 200 D. 200, 16 Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high-speed machine are defective. If six keyboards are randomly selected, what is the probability that none of the keyboards are defective? A. 0.167 B. 0.735 C. 0.500 D. 1.00 E. 0.2321 7. 8. 9. 10. A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month. Number of days absent Probability 0 0.60 1 0.20 2 0.12 3 0.04 4 0.04 50 Given the probability distribution, which of the following predictions is correct? A. 60% of the employees will have more than one day absent for a month. B. There is a 0.04 probability that an employee will be absent 1 day during a month. C. There is a 0.12 probability that an employee will be absent 2 days during a month. D. There is a 0.50 probability that an employee will be absent 0.72 days during a month