Question

the mean of binomial probability distribution is 857.6 and probability is 67%,then the number of value of binomial distribution are?

Answer 1

the mean of binomial probability distribution is 857.6 and probability is 67%,then the number of value of binomial distribution are?

Answer 2

Concept:

The binomial distribution is a probability distribution that expresses the likelihood of a value taking one of two independent values given a set of factors or assumptions.

Given:

The mean of the binomial probability distribution is 857.6.

The probability is 67%.

Find:

The number of values of the binomial distribution.

Solution:

The formula for the mean of a binomial distribution is

mean of a binomial distribution = $n*p$

(where n = the number of trials and

p = the probability of success. )

The mean of the binomial probability distribution = 857.6

The probability (p) = 67% = 0.67

Put the values in the formula

$857.6=n*0.67$

$n=\frac{857.6}{0.67}$

$n=1280$

Hence the number of the values of binomial distribution are 1280.