SOLUTION: According to StatsSa, the unemployment rate in South Africa as of 2018 has risen to 28%. For randomly selected group consisting of eight South Africans, what is the probability tha

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Question 1152070: According to StatsSa, the unemployment rate in South Africa as of 2018 has risen to 28%. For randomly selected group consisting of eight South Africans, what is the probability that at least two are unemployed?
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.

This is a binomial distribution type problem, where the probability under the question is the sum


     P =       (1)


The number of trials is              8;
The indexes of success trials        k = 2,3,4,5,6,7,8
The probability of success trial     p = 0.28;
                                     q = 1 - p
C(n,k) = n! / (k! * (n-k)!)          are binomial coefficients.


The sum  (1)  is equal to  1 - .     (2)



You may calculate each term in (2) individually and then sum them up.


Or, alternatively, you may use Excel function  BINOM.DIST(1, 8, 0.28, TRUE)  to calculate the cumulative sum value


     = 0.296906.    


In this way, the value of  (2)  is equal to  1 - 0.296906 = 0.703094 (approximately).    ANSWER

Thus the problem is solved using Technology.

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On Excel function BINOM.DIST, see its description everywhere, for example

https://support.office.com/en-us/article/binom-dist-function-c5ae37b6-f39c-4be2-94c2-509a1480770c



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