STA 301 - HW04 Key

# STA 301 - HW04 Key - STA 301 Applied Statistics Spring 2008...

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STA 301 – Applied Statistics Spring 2008, Section B Homework #4 - Key Due Wednesday, February 13 Question 1 : A candy dish contains a mixture of plain and peanut M&Ms of various colors. We have the following facts about the M&Ms in the dish: 80% are plain (no peanuts) 50% are brown 90% are either plain or brown (or both) Suppose one M&M is selected from this dish at random. (a) What is the probability that it is a plain, brown M&M? Rearranging the addition rule, we have: P(plain brown) = P(plain) + P(brown) – P(plain brown) = .8 + .5 - .9 = .4 (b) Suppose we are informed that the M&M drawn is brown. What is the probability that it is also plain? P(plain | brown) = P(plain brown) / P(brown) = .4 / .5 = .8 (c) Are the events “brown M&M drawn” and “plain M&M drawn” mutually exclusive? Why or why not? Since P(plain brown) 0, the two events are not mutually exclusive. (d)

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STA 301 - HW04 Key - STA 301 Applied Statistics Spring 2008...

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