Critical Thinking: Simulation We can use the random number

Chapter , Problem 5

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Critical Thinking: Simulation We can use the random number table to simulate outcomes from a given discrete probability distribution. Jose plays basketball and has probability 0.7 of making a free-throw shot. Let x be the random variable that counts the number of successful shots out of 10 attempts. Consider the digits 0 through 9 of the random number table. Since Jose has a 70% chance of making a shot, assign the digits 0 through 6 to making a basket from the freethrow line and the digits 7 through 9 to missing the shot. (a) Do 70% of the possible digits 0 through 9 represent making a basket? (b) Start at line 2, column 1 of the random number table. Going across the row, determine the results of 10 trials. How many free-throw shots are successful in this simulation? (c) Your friend decides to assign the digits 0 through 2 to missing the shot and the digits 3 through 9 to making the basket. Is this assignment valid? Explain. Using this assignment, repeat part (b).