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Choose the correct answer. You flip a coin 12 times. What is the probability of getting only one tails in...

6. Choose the correct answer.
You flip a coin 12 times. What is the probability of getting only one tails in all 12 tries?
A. 4.88 x 10^-4
B. 2.44 x 10^-4
C. 2.93 x 10^-3
D. 8.3 x 10^-2
7. Match the description with the formula.
the standard deviation of a probability distribution
σ = √[Σ(X² · P(X))] - μ²
nCr(p)^r(1-p)^(n-r)
μ = x̄ = Σ[x · P(X)]
x² = Σ[x² · P(x)] - μ²

Answer

  1. To find the probability of getting only one tail in 12 coin flips, use the binomial probability formula:
    P(X = 1) = C(12, 1) * (0.5)^1 * (0.5)^(12-1) = 12 * 0.5 * (0.5)^11 = 12 * 0.5 * 0.00048828125 = 0.0029296875, which is approximately 2.93 x 10^-3. The correct answer is C. 2.93 x 10^-3.

  2. The formula for the standard deviation of a probability distribution is:
    σ = √[Σ(X² · P(X))] - μ²

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