Homework SourseRolling Dice 76 75 56 67 58 95 78 98 79 80 52 47 50 59 72 43
Rolling Dice
76
75
56
67
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95
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98
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80
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100
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74
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63
98
Make a graphical depiction of the probability that a randomly selected student from the class who took exam one received a particular letter grade. Assume the grading scale is as follows:
A = 90 -100, B = 80 – 89, C = 70 -79, D = 60 – 69, F = Less than 60
Assume that the random variable Y is the sum of the values shown after the throw of two dice. What is the sample space of Y?
Complete this experiment at least 30 times and plot the results on the back of this sheet.
What would the theoretical graph look like? Show this graph on the back of this sheet. Hint: graph P(Y) as a function of Y.
Think of a way to convey this graphical information in a tabular form and construct the table.
Virtual Dice (if needed): http://www.random.org/dice/?num=2
| 76 | 75 | 56 | 67 | 58 |
| 95 | 78 | 98 | 79 | 80 |
| 52 | 47 | 50 | 59 | 72 |
| 43 | 58 | 95 | 75 | 64 |
| 40 | 53 | 62 | 56 | 97 |
| 78 | 60 | 84 | 98 | 57 |
| 58 | 48 | 73 | 86 | 88 |
| 50 | 100 | 98 | 98 | 93 |
| 41 | 41 | 72 | 66 | 97 |
| 78 | 94 | 57 | 55 | 81 |
| 79 | 63 | 45 | 96 | 88 |
| 87 | 98 | 83 | 80 | 51 |
| 95 | 67 | 95 | 62 | 98 |
| 41 | 37 | 75 | 92 | 48 |
| 92 | 62 | 70 | 51 | 97 |
| 60 | 53 | 55 | 90 | 41 |
| 67 | 53 | 37 | 45 | 74 |
| 60 | 40 | 41 | 63 | 98 |
Solution
