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Choose the best answer. \( nC_r(p)^r(1-p)^{n-r} \) is the formula for ___________. A) variance B) binomial...

2. Choose the best answer.
\( nC_r(p)^r(1-p)^{n-r} \) is the formula for ___________.
A) variance
B) binomial probability
C) standard deviation
D) probability mean
3. Perform the calculation.
\( ^{10}C_4 = \) ____
A) 360
B) 5,040
C) 210

Answer

  1. Binomial probability. The formula \( nC_r(p)^r(1-p)^{n-r} \) is used to calculate the probability of obtaining exactly r successes in n independent Bernoulli trials, each with success probability p.

  2. 210. The combination \( ^{10}C_4 \) is calculated as \( \frac{10!}{4!(10-4)!} = 210 \).

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