SOLUTION: Of the members of a Boy Scout troop, 15% have received the first aid merit badge. If 40 boy scouts are selected at random, find the probability that four or more will have the firs
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Question 1178440: Of the members of a Boy Scout troop, 15% have received the first aid merit badge. If 40 boy scouts are selected at random, find the probability that four or more will have the first aid merit badge?
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Of the members of a Boy Scout troop, 15% have received the first aid merit badge.
If 40 boy scouts are selected at random, find the probability that four or more
will have the first aid merit badge?
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It is a binomial distribution probability problem.
- number of trials n = 40;
- number of success trial k >= 4;
- Probability of success on a single trial p = 0.15.
We need calculate P(n = 40; k >= 4; p = 0.15).
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 = 40; k >= 4; p = 0.15) = 0.869831, or 86.9831% (rounded). ANSWER
