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math work............?

A university found that 30% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course.

Compute the probability that two or fewer will withdraw (to 4 decimals).

Compute the probability that exactly four will withdraw (to 4 decimals).

Compute the probability that more than three will withdraw (to 4 decimals).

Compute the expected number of withdrawals.

1 Answer

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  • M3
    Lv 7
    10 years ago
    Favorite Answer

    binomial distribution

    0 C(20,0) * 0.3^0 * 0.7^20 0.00080

    1 C(20,1) * 0.3^1 * 0.7^19 0.00684

    2 C(20,2) * 0.3^2 * 0.7^18 0.02785

    3 C(20,3) * 0.3^3 * 0.7^17 0.07160

    4 C(20,4) * 0.3^4 * 0.7^16 0.13042

    for the 1st 3 parts, extract data from the table & round to 4 dp

    for P[>3], use its equivalent, 1 -P[≤3]

    E[x] = np = 20*0.3 = 6 <--------

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