Each of six students has a deck of cards and selects a card randomly from his or her

Chapter 8, Problem 8.3-15

(choose chapter or problem)

Each of six students has a deck of cards and selects a card randomly from his or her deck. (a) Show that the probability of at least one match is equal to 0.259. (b) Now let each of the students randomly select an integer from 152, inclusive. Let p equal the probability of at least one match. Test the null hypothesis H0: p = 0.259 against an appropriate alternative hypothesis. Give a reason for your alternative. (c) Perform this experiment a large number of times. What is your conclusion?

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