STA 301 - HW04

# STA 301 - HW04 - without replacement What are the...

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STA 301 – Applied Statistics Spring 2008, Section B Homework #4 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? (b) Suppose we are informed that the M&M drawn is brown. What is the probability that it is also plain? (c) Are the events “brown M&M drawn” and “plain M&M drawn” mutually exclusive? Why or why not? (d) Are the events “brown M&M drawn” and “plain M&M drawn” independent? Why or why not?

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STA 301-B, Spring 2008 Homework 4 Page 2 of 3 Question 2 : A jar contains 5 blue chips, 4 red chips, and 3 white chips. Three chips will be drawn from the jar in succession. Suppose the chips are drawn
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Unformatted text preview: without replacement . What are the probabilities that… • All three chips are blue. • The third chip is not white, given that the first two are red. • At least one of the chips is white. Now suppose the chips are drawn with replacement . What are the probabilities that… • All three chips are blue. • The third chip is not white, given that the first two are red. • At least one of the chips is white. STA 301-B, Spring 2008 Homework 4 Page 3 of 3 Question 3 : (p. 73, #2.109) A truth serum has the property that 90% of the guilty suspects are properly judged while, of course, 10% of guilty suspects are improperly found innocent. On the other hand, innocent suspects are misjudged 1% of the time. If a suspect is selected from a group of people of whom only 5% have ever committed a crime, and the serum indicates that he is guilty, what is the probability that he is innocent?...
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STA 301 - HW04 - without replacement What are the...

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