a) State the formula for calculating the mean of a

facas9

facas9

Answered question

2021-09-29

a) State the formula for calculating the mean of a binomial probability distribution.
b) State the formula for calculating the variance of binomial probability distribution.
c) State the formula for calculating the standard deviation of a binomial probability distribution.

Answer & Explanation

funblogC

funblogC

Skilled2021-09-30Added 91 answers

a) The given information is that mean of a binomial probability distribution.
Mean of the binomial probability distribution:
The expected value of the random variable with two possible outcomes is said to be mean of the binomial probability distribution.
The mean of a binomial probability distribution is calculated by multiplying the number of trials (n) and the probability of the outcome of interest an individual trial (p).
That is, μ=np
Therefore, the formula for calculating the mean of a binomial probability distribution is μ=np.
b) The variance of the binomial probability distribution is the average squared distance of the bivariate outcomes for the random variable from the mean of the binomial probability distribution.
Therefore, the formula for calculating the variance of a binomial probability distribution is,
σ2=np(1p) or σ2=npq.
Here, q=1p
c) The standard deviation of the binomial probability distribution is the average distance of the bivariate outcome for the random variable deviate from the mean of the probability distribution. In other words the standard deviation of the binomial probability distribution is the square root of the variance of a binomial probability distribution.
Therefore, the formula for calculating the standard deviation of a binomial probability distribution is,
σ=np(1p) or σ=npq.

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