SOLUTION: According to the last census, 45% of working women held full time jobs in 2010. If a random sample of 50 working women is drawn, what is the probability that 19 or more hold full t

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Question 1175758: According to the last census, 45% of working women held full time jobs in 2010. If a random sample of 50 working women is drawn, what is the probability that 19 or more hold full time jobs?
Answer by ikleyn(52818) About Me  (Show Source):
You can put this solution on YOUR website!
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According to the last census, 45% of working women held full time jobs in 2010. If a random sample
of 50 working women is drawn, what is the probability that 19 or more hold full time jobs?
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It is a binomial distribution probability problem.

    - number of trials        n =  50;

    - number of success trial k >= 19;

    - Probability of success on a single trial p = 0.45.



We need calculate  P(n=50; k>=19; p=0.45) = 0.531441.      



To facilitate calculations, I use an appropriate online (free of charge) calculator at this web-site 

https://stattrek.com/online-calculator/binomial.aspx



It provides nice instructions  and  a convenient input and output for all relevant options/cases.


    P(n=50; k>=19; p=0.45) = 0.87265488533,   or   0.8727 (rounded).       ANSWER

Solved.

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To see a variety of similar solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
    - How to calculate Binomial probabilities with Technology (using MS Excel)
    - Solving problems on Binomial distribution with Technology (using MS Excel)
    - Solving problems on Binomial distribution with Technology (using online solver)
in this site.

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