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15.3 Exercise 5

Avg difficulty 2.5

(See Exercise 20 from "Problems on Conditional Expectation, Regression") A number X is selected randomly from the integers 1 through 100. A pair of dice is thrown X times. Let Y be the number of sevens thrown on the X tosses. Determine the distribution for Y. Determine E[Y]E \left[Y\right] and P(Y≤20)P \left(Y \leq 20\right).

Pfeiffer, Applied Probability, 15.3 Problems on Random Selection, exercise 5

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.