Question 75427: Q. M&M candies:Are 10% blue?
According to a consumer affairs representative from Mars(the candy company, not the planet), 10% of all M&M plain candies are blue. Data set 19 in Appendix B shows that among 100 M&Ms chosen, 5 are blue. Estimate the probability of randomly selecting 100 M&Ms and getting 5 or fewer that are blue. Assume that the company's 10% blue rate is correct. Based on the result, is it unusual to get 5 or fewer blue M&Ms when 100 are randomly selected?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! According to a consumer affairs representative from Mars(the candy company, not the planet), 10% of all M&M plain candies are blue. Data set 19 in Appendix B shows that among 100 M&Ms chosen, 5 are blue. Estimate the probability of randomly selecting 100 M&Ms and getting 5 or fewer that are blue. Assume that the company's 10% blue rate is correct.
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P(X<=5)=binomcdf(100,0.10,5)= 0.057577...
I used a TI calculator.
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Based on the result, is it unusual to get 5 or fewer blue M&Ms when 100 are randomly selected?
Not too unusual; Seems to happen about 6% of the time.
That answer is a judgement call; not based on z-scores,
standard deviations, etc.
Cheers,
Stan H.
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