According to a 2020 article, 69% of men do not

CoormaBak9

CoormaBak9

Answered question

2021-09-30

According to a 2020 article, 69% of men do not wash their hands after using a public restroom. Suppose a random sample of 40 men are selected. What is the probability that exactly 30 will not wash their hands after using a public restroom?
1) 0.839
2) 0.221
3) 0.102
4) 0.358

Answer & Explanation

Nicole Conner

Nicole Conner

Skilled2021-10-01Added 97 answers

Step 1
This is a case of binomial probability.
The formula for binomial probability is shown as follows:
P(X=x)=Cxnpx(1p)nx
where p= probability of success
n= total number of trials
x= number of success desired
We are given:
p=0.69
n=40
x=30
We need to calculate P(X=30). The calculations for the required probability is shown as follows:
P(X=30)=C30400.6930(10.69)4030
=C30400.6930(0.31)10
=0.102
Step 2
Hence, the correct option is:
3) 0.102

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