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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