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340m-s11_review

# 340m-s11_review - defective component exists in the lot 4...

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Math 340 Spring 2011 Piryatinska Practice test, Midterm 1. Given that P ( A ) = P ( B ) = 1 3 , and P ( A B ) = 0 . 1 , find: P ( A B 0 ) , P ( A B 0 ) , and P ( A 0 B 0 ) . 2. Players A, B, and C toss a fair coin in order. The first to throw a head wins. What is the probability that player A wins? 3. A producer of a certain type of electronics component ships to suppliers in lots of twenty. Suppose that 60% of all such lots contain no defective com- ponents, 30 % contain one defective component, and 10% contain two defective components. A lot is selected and two components from the lot are randomly selected and tested and neither is defective. What is the probability that one
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Unformatted text preview: defective component exists in the lot? 4. In how many ways can the digits 1 through 9 be arranged such that the even digits appear in either ascending or descending order? 5. In a poker hand consisting of 5 cards, ﬁnd the probability of holding 3 hearts and 2 clubs. 6. At the points x = 0 , 1 , ··· , 6, the cdf for the discrete random variable X has the value F X ( x ) = x ( x + 1) / 42 . Find the pdf for X . 1...
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