SOLUTION: A local county has an unemployment rate of 8%. A random sample of 19 employable people are picked at random from the county and are asked if they are employed. Find the probability

Algebra ->  Probability-and-statistics -> SOLUTION: A local county has an unemployment rate of 8%. A random sample of 19 employable people are picked at random from the county and are asked if they are employed. Find the probability      Log On


   

Question 1185311: A local county has an unemployment rate of 8%. A random sample of 19 employable people are picked at random from the county and are asked if they are employed. Find the probability that exactly 5 in the sample are unemployed. (The distribution is a binomial. Round your answers to 4 decimal places.)
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
A local county has an unemployment rate of 8%. A random sample of 19 employable people are picked at random
from the county and are asked if they are employed. Find the probability that exactly 5 in the sample are unemployed.
(The distribution is a binomial. Round your answers to 4 decimal places.)
~~~~~~~~~~~~~~~ 


It is the binomial type probability distribution.


The number of trials n= 19; the probability of the success trial is  0.08,  and the number of success trials k = 5. 


    P = C%5B19%5D%5E5%2A0.08%5E5%2A%281-0.08%29%5E%2819-5%29 = 11628%2A0.08%5E5%2A0.92%5E14 = 0.011857 = 0.0119 (rounded).     ANSWER

------------------

To see many other similar  (and different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.