Even More Brown Candy!
Binomial Random Variables
Worksheet 14
 

The M&M/Mars Corporation claims that, on average, 30% of the pieces in a package of plain M&Ms will be brown (at least they did, before they introduced blue M&Ms).
 

1.    Assume the package you consumed earlier this term is a random sample of
       M&Ms. Further assume that your package contained 20 M&Ms, eight (8) of
       which were brown. What percent of the M&Ms in your pack were brown? Does
       this result cause you to doubt M&M/Mars's claim?     Explain.
 

2.    Find the probability of obtaining 8 browns pieces in your sample of 20 M&Ms,
       assuming that the company's claim about the percentage that is brown is true.
 

3.    Explain how you know that the last problem is a binomial problem?
 

4.    Study the relevant column of data in the binomial table to determine if getting 8
       browns in a pack of 20 M&Ms is unusual.     Explain.
 

5.    If the company's claim is true, what is the most likely number of browns we
        would find in a pack of 20 M&Ms?     Explain.
 
 
 

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