A biased coin has a 0.6 chance of coming up heads when flipped. Find the probability of flipping 3 or fewer heads in 10 flips. What is the e

Question

A biased coin has a 0.6 chance of coming up heads when flipped. Find the probability of flipping 3 or fewer heads in 10 flips. What is the expected number of heads in 10 flips

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Anna 2 weeks 2021-09-11T02:41:06+00:00 1 Answer 0

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    2021-09-11T02:42:50+00:00

    Answer:

    0.04247,6

    Step-by-step explanation:

    Given that a biased coin has a 0.6 chance of coming up heads when flipped

    X no of coins which showed head is binomial with p = 0.6 since each trial is independent of the other

    When there are 10 flips we have n =10

    This gives

    probability of flipping 3 or fewer heads in 10 flips.

    =P(X=3)\\=10C3 (0.6)^3 (0.4)^7\\= 0.04247

    Expected number of heads in 10 flips

    E(x)

    =np = 6

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