freedom.) 12.15. Two dice are thrown together 360 times, and the total score is re- corded for each throw. The possible totals are 2, 3, . . . , 12, and their numbers of occurrences are as shown in Table 12.15. (a) Calculate the probabilities for each Table 12.15. Observed occurrences of total scores for two dice thrown together 360 times; for Problem 12.15. 2 3 4 5 7 Total score: 6 8 10 11 12 6 14 Occurrences: 35 57 50 44 49 39 27 16 total and hence the expected number of occurrences (assuming the dice are true). (b) Calculate x, d, and =xld. (c) Assuming the dice are true, what is the probability of getting a value of this large or larger? (d) At the 5% level of significance, can you reject the hypothesis that the dice are true? At the 1% level? 23
freedom.) 12.15. Two dice are thrown together 360 times, and the total score is re- corded for each throw. The possible totals are 2, 3, . . . , 12, and their numbers of occurrences are as shown in Table 12.15. (a) Calculate the probabilities for each Table 12.15. Observed occurrences of total scores for two dice thrown together 360 times; for Problem 12.15. 2 3 4 5 7 Total score: 6 8 10 11 12 6 14 Occurrences: 35 57 50 44 49 39 27 16 total and hence the expected number of occurrences (assuming the dice are true). (b) Calculate x, d, and =xld. (c) Assuming the dice are true, what is the probability of getting a value of this large or larger? (d) At the 5% level of significance, can you reject the hypothesis that the dice are true? At the 1% level? 23
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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