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24 December, 11:24

A martial artist is practicing breaking 5 boards. He is able to break a board with probability 0.8. (a) What is the probability that he breaks exactly 2 out of the 5 boards that are placed before him? (b) What is the probability that he breaks at most 3 out of the 5 boards that are placed before him? (c) What is the expected number of boards he will break?

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  1. 24 December, 12:05
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    (a) = 0.32 or 8/25

    (b) = 0.48 or 12/25

    (c) = 4 Boards

    Step-by-step explanation:

    (a):

    0.8 x 2/5

    8/10 x 4/10

    (8 x 4) / (10 x 10)

    (32) / (100)

    0.32 or 8/25

    (b):

    0.8 x 3/5

    8/10 x 6/10

    (8 x 6) / (10 x 10)

    (48) / (100)

    0.48 or 12/25

    (c):

    0.8 x 5

    8/10 x 50/10

    (8 x 50) / (10 x 10)

    (400) / (100)

    4 Boards
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