Problem 5 20 fair coins are tossed independently, and 80 fair dice are rolled in

Question

Problem 5

20 fair coins are tossed independently, and 80 fair dice are rolled independently. Let C be the number of coins that land showing "heads" on top and let D be the number of dice that land showing an even number of spots on top. The expected value of C, E(C), is (Q8)

Problem 5 20 fair coins are tossed independently, and 80 fair dice are rolled independently. Let C be the number of coins that land showing "heads" on top and let D be the number of dice that lanc showing an even number of spots on top. The expected value of C, E(C), is (Q8) The expected value of D, E(D), is (09)L

Explanation / Answer

8) P(landing on head) = 0.5

n = 20

E(C) = n * p = 20 * 0.5 = 10

9) P(showing an even number) = 3/6 = 1/2 = 0.5

n = 80

E(D) = 80 * 0.5 = 40

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