Question

1) State the formula for the Binomial Probability Distribution, also state the domain. 2) Tell what the requirement for the Binomial experiment are. 3

Binomial probability
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asked 2021-02-05
1) State the formula for the Binomial Probability Distribution, also state the domain. 2) Tell what the requirement for the Binomial experiment are. 3) List both formulas for calculating the mean of a Binomial Probability Distribution. 4) List the formulas for the standard deviation of a Binomial Probability Distribution.

Answers (1)

2021-02-06

1. \(p(X=x) = C_x^n p^x (1 – p)^(n – x) Domain: x = 0, 1, 2, 3, … 2.\)1) a fixed number of trials 2) these are only two outcomes 3) Each trial is independent of the other 4) The probability of each outcome remains constant from trial to trial. 3. \(Mean = np\ Mean = \sum_{x=0}^\infty xp(x = x) 4.\) SD = \(SD = \sqrt{np(1 – p)}\)

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