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Match the description with the formula. a binomial probability where the probability of success and failure...

8. Match the description with the formula.
a binomial probability where the probability of success and failure are equally possible
○ nCr(p)^r(1-p)^(n-r)
○ μ = Σ[X · P(X)]
○ σ² = Σ[x² · P(X)] - μ²
○ nCr(0.50)^n
9. Choose the correct answer.
You have a multiple-choice test of 25 questions with 4 choices for each question. You choose each answer at random and get 4 answers correct. What is the probability of that happening? Round to the nearest hundredth.
○ 0.03
○ 0.04
○ 0.12
○ 0.14

Answer

  1. The formula that matches a binomial probability where the probability of success and failure are equally possible is nCr(0.50)^n.

  2. The probability of getting exactly 4 answers correct out of 25 when each question has 4 choices is calculated using the binomial probability formula:
    P(X = 4) = C(25, 4) * (0.25)^4 * (0.75)^21 = 0.04 (rounded to the nearest hundredth).
    Therefore, the correct answer is 0.04.

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