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    Question

    The probability of a student solving a problem correctly

    is 0.6. Out of 10 independent attempts, what is the probability that he solves at least 8 ?
    A 0.167 Correct Answer Incorrect Answer
    B 0.382 Correct Answer Incorrect Answer
    C 0.214 Correct Answer Incorrect Answer
    D 0.089 Correct Answer Incorrect Answer

    Solution

    We are given a binomial probability problem:

    • Probability of success (solving correctly): p = 0.6
    • Probability of failure: q = 1 тИТ p = 0.4
    • Number of trials: n = 10
    • We need: P(X тЙе 8)
      i.e., probability of solving at least 8 problems out of 10.
    Use Binomial Formula:

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