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4 June, 14:11

A cereal company is putting 1 11 of 3 33 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1 / 3 1/31, slash, 3. Adam wonders how many boxes he should expect to buy to get all 3 33 prizes. He carried out 32 3232 trials of a simulation and his results are shown below. Each dot represents how many boxes it took to get all 3 33 prizes in that trial. 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13# of boxes purchased Use his results to estimate the probability that it takes 9 99 or more boxes to get all 3 33 prizes. Give your answer as either a fraction or a decimal. P (9 or more boxes) ≈ P (9 or more boxes) ≈P, left parenthesis, 9, start text, space, o, r, space, m, o, r, e, space, b, o, x, e, s, end text, right parenthesis, approximately equals

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Answers (2)
  1. 4 June, 14:26
    0
    The question is incomplete! Complete question along with answer and step by step explanation is provided below.

    Question:

    A cereal company is putting 1 of 3 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1/3. Adam wonders how many boxes he should expect to buy to get all 3 prizes. He carried out 32 trials of a simulation and his results are shown below.

    3 12

    4 4

    5 5

    6 5

    7 0

    8 0

    9 2

    10 2

    11 0

    12 2

    Use his results to estimate the probability that it takes 9 or more boxes to get all 3 prizes. Give your answer as either a fraction or a decimal. P (9 or more boxes) =

    Answer:

    P (x ≥ 9) = 18.75%

    Step-by-step explanation:

    A cereal company is putting 1 of 3 prizes in each box of cereal.

    Adam is trying to find out how many boxes he should buy to get all 3 prizes.

    He carried out 32 trials and got the following results.

    We want to estimate the probability that it takes 9 or more boxes to get all 3 prizes.

    No. of Boxes | frequency

    3 | 12

    4 | 4

    5 | 5

    6 | 5

    7 | 0

    8 | 0

    9 | 2

    10 | 2

    11 | 0

    12 | 2

    9 or more boxes means equal to 9 boxes or greater than 9 boxes.

    P (x ≥ 9) = No. of boxes equal or greater than 9/total no. of boxes

    The total no. of boxes is 32

    From the above data, count the number of boxes equal to or greater than 9. (6 times)

    P (x ≥ 9) = 6/32

    P (x ≥ 9) = 3/16

    P (x ≥ 9) = 0.1875

    P (x ≥ 9) = 18.75%

    Therefore, there is 18.75% probability that it takes 9 or more boxes to get all 3 prizes.
  2. 4 June, 14:52
    0
    0.125

    Explanation:

    I just did it
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