​If Alfie tosses the paper cup more times, what is the expected ​number of times that the cup will land on its side?

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​If Alfie tosses the paper cup more times, what is the expected ​number of times that the cup will land on its side?

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bonexptip 5 years 2021-08-01T05:05:45+00:00 1 Answers 43 views 0

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  1. taiduc
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    2021-08-01T05:07:32+00:00
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    Question:

    Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

         Right side up = 60         Upside down = 53             Side = 37

    If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?

     

    Answer:

    The expected number of times the cup will land on its side is 25 times

    Step-by-step explanation:

    Given

    Right = 60

    Upside\ down = 53

    Side = 37

    Required

    First, we calculate the probability of landing on side

    P(Side) = \frac{n(Side)}{Total}

    P(Side) = \frac{37}{150}

    P(Side) = 0.247

    Next, we calculate the expected value; E(x) using:

    E(x) = n * P(x)

    When tossed 100  more times:

    n = 100 and P(x) = P(Side) = 0.247

    So:

    E(x) = 100 * 0.247

    E(x) = 24.7

    E(x) = 25 — approximated

    Hence, it is expected that it will land on its side 25 times

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