# Eighty percent of the employees at the General Mills plant on Laskey Road have their bimonthly wages sent directly to their bank electronic funds transfers. This is called direct deposit . Suppose we select a random sample of seven recipients. What is the probability that all seven employees use direct deposit?

Question
Binomial probability
Eighty percent of the employees at the General Mills plant on Laskey Road have their bimonthly wages sent directly to their bank electronic funds transfers. This is called direct deposit . Suppose we select a random sample of seven recipients. What is the probability that all seven employees use direct deposit?

2020-11-10
This is a binomial probability.
n= 7 (number of employees)
x = 4 (number of employees using direct deposit)
p=0.8 (probability that 'an' employee uses direct deposit
$$\displaystyle{P}{\left({x}={4}\right)}={7}{C}{4}{\left({0.8}\right)}^{{{4}}}{\left({0.2}\right)}^{{{7}-{4}}}$$
$$\displaystyle={35}{\left({0.8}\right)}^{{{4}}}{\left({0.2}\right)}^{{{3}}}={0.1147}$$

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