STATISTICS
odehe
graded_assignment_1_2015_1.xlsx#1-4
| #1 | Find the probability of rolling a sum of 3 on a pair of fair dice. (5 points) |
| #2 | Find the probability of rolling a sum of 7 on a pair of fair dice. (5 points) |
| #3 | Find the probability of rolling a sum of 3 or a sum of 7 on a pair of fair dice. (5 points) |
| #4 | Find the probability of rolling a sum of 3 and then a sum of 7 on consecutive rolls of a pair of fair dice. (5 points) |
#5-9
| A shipment of 50 items is received. | |
| These items are manufactured with a defective rate of 20%. | |
| You are to randomly sample 5 items with replacement. | |
| #5 | What is the probability that none of the 5 selected items are defective? (5 points) |
| #6 | What is the probability that all of the 5 selected items are defective? (5 points) |
| #7 | What is the probability that the first 3 are good and the last 2 are defective? (5 points) |
| #8 | What is the probability that the first 2 are defective and the last 3 are good? (5 points) |
| #9 | What is the probability that exactly 3 are good? (5 points) |
#10-14
| A shipment of 50 items is received. | |
| These items are manufactured with a defective rate of 20%. | |
| You are to randomly sample 5 items without replacement. | |
| #10 | What is the probability that none of the 5 selected items are defective? (5 points) |
| #11 | What is the probability that all of the 5 selected items are defective? (5 points) |
| #12 | What is the probability that the first 2 are good and the last 3 are defective? (5 points) |
| #13 | What is the probability that the first 3 are defective and the last 2 are good? (5 points) |
| #14 | What is the probability that exactly 2 are good? (5 points) |
#15-19
| A multiple choice quiz has 15 questions, each with four possible answers. | |
| #15 | If you were to randomly circle an answer for any one question, what is the probability of getting that question correct? (5 points) |
| #16 | If you were to randomly circle an answer for any one question, what is the probability of getting that question incorrect? (5 points) |
| #17 | If you were to randomly circle answers for all 15 questions, what is the probability of getting all those questions correct? (5 points) |
| #18 | If you were to randomly circle answers for all 15 questions, what is the probability of getting the first ten correct and the last five incorrect? (5 points) |
| #19 | If you were to randomly circle answers for all 15 questions, what is the probability of getting exactly ten correct? (5 points) |
#20-25
| The data in the table below summarize results from tests of the accuracy of polygraphs (based on data from the Office of Technology Assessment). | |||
| Polygraph Indicated Truth | Polygraph Indicated Lie | Total | |
| Subject spoke truth | 63 | 15 | 78 |
| Subject lied | 3 | 17 | 20 |
| Total | 66 | 32 | 98 |
| #20) What is the probability the subject spoke the truth? (5 points) | |||
| #21) What is the probability the polygraph indicated truth? (5 points) | |||
| #22) What is the probability the subject lied or the polygraph indicated lie? (5 points) | |||
| #23) What is the probability the subject spoke the truth and the polygraph indicated truth? (5 points) | |||
| #24) What is the probability the subject spoke the truth given the polygraph indicated truth? (5 points) | |||
| #25) What is the probability the polygraph indicated lie given the subject lied? (5 points) | |||
