Solutions to Exam 1, Ma441,Spr05.

Solutions to Exam 1, Ma441,Spr05. - . 1. (15 points) In the...

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. 1. (15 points) In the CASH 5 Colorado Lottery, one chooses 5 numbers from the field 1 through 32. It costs $1 per play. Twice a week 5 numbers are drawn without replacement from the field 1 through 32 and an individual's winnings are determined by the number of matches of his/her choices with those drawn. The table below lists the prizes that can be won (excluding the cost of the game): # Matches Prize 5 of 5 Jackpot = $20,0001 4 of 5 $200 3 of5 $10 2 of5 $1 a. In one play, what is the chance that an individual wins the Jackpot? . b.1n one play, what is the chance that an individual wins $10 (for net winnings of$9)? ~. In both parts, it suffices to express your an,swers in terms of unevaluated binomial coefficients. . I (i. Pi l1)/,J.s 111cJC.f;tJr);: --- co,. .. ('3 '$') / b. P(WIJJ.5 $/v) := (~)(2~) - ( 3"2- ) 2- '? .3 I If more than 10 tickets win the top prize in a single CASH 5 drawing, the top prize will become parimutuel and all top prize winners will receive an equal share of $200,000. .. 2
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. " " 2. (20 pts.) Suppose the chance of rain Tuesday is .45, and the chance of rain Wednesday' is .35. Also suppose the chance it rains on at least one of these two days is .65.
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This homework help was uploaded on 01/22/2008 for the course MATH 441 taught by Professor Johnson during the Spring '04 term at SDSMT.

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Solutions to Exam 1, Ma441,Spr05. - . 1. (15 points) In the...

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