Determine whether the given events are disjoint. 4) Being over 30 and being in college 4) A) No B) Yes


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1 Math 34 Test #4 Review Fall 06 Name Tell whether the statement is true or false. ) 3 {x x is an even counting number} ) A) True False Decide whether the statement is true or false. ) {5, 0, 5, 0} {5, 5} = {5, 0, 5, 0} ) A) True False 3) {9, 8, } {, 9, 8} = {9, } 3) A) True False Determine whether the given events are disjoint. 4) Being over 30 and being in college 4) A) No Yes 5) Drawing a face card from a deck of cards and drawing a deuce 5) A) Yes No Find the probability of the given event. 6) A card drawn from a wellshuffled deck of 5 cards is a red ace. 6) A) ) One card is selected from a deck of cards. Find the probability of selecting a red card or a queen. 7) A) Find the odds in favor of the indicated event. 8) Randomly drawing a 4 from the cards pictured below. 8) A) to 5 5 to to 4 4 to 9) If two cards are drawn without replacement from an ordinary deck, find the probability that the second card is a face card, given that the first card was a queen. A) ) Assume that two marbles are drawn without replacement from a box with blue, 3 white, green, and red marbles. Find the probability of the indicated result. 0) The second marble is blue, given that the first marble is red. 0) A)
2 Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability. ) Four cards are drawn from a deck. The number of red tens is counted. ) A) Find the expected value for the random variable. ) x P(x) A) ) 3) Suppose you buy ticket for $ out of a lottery of 000 tickets where the prize for the one winning ticket is to be $500. What are your expected winnings? A) $.00 $0 $.40 $.50 3) Use the multiplication principle to solve the problem. 4) How many different 5digit sequences can be formed using the digits 0,,...,8 if repetition of digits is allowed? A) 3, ,049 4) 5) There are members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible? A) ,00,600 6) There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible? A) ) Five cards are drawn at random from an ordinary deck of 5 cards. In how many ways is it possible to draw two red aces and two black jacks? A),5 ways 9 ways 48 ways 44 ways 8) From a group of 5 women and men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can the study group be selected? A) 79,47,600 3,85,35 3,037, ) 6) 7) 8) A bag contains 6 cherry, 3 orange, and lemon candies. You reach in and take 3 pieces of candy at random. Find the probability. 9) All cherry 9) A)
3 Find the probability of the following card hands from a 5card deck. In poker, aces are either high or low. A bridge hand is made up of 3 cards. 0) In poker, a flush (5 in same suit) in any suit 0) A) ) Three student representatives are to be chosen from a group of five students: Andrew, Brenda, Chad, Dorothy, and Eric. In how many different ways can the representatives be chosen if two must be male and one female? A) 6 4 ) Find the requested probability. ) A family has five children. The probability of having a girl is. What is the probability of having ) exactly girls and 3 boys? A) A die is rolled five times and the number of fours that come up is tallied. Find the probability of getting the given result. 3) Exactly zero fours 3) A) A die is rolled 0 times and the number of twos that come up is tallied. Find the probability of getting the given result. 4) Less than four twos 4) A) Find the interest. Round to the nearest cent. 5) $90 at 8.8% for 3 months 5) A) Interest = $76.56 Interest = $6.38 Interest = $8.5 Interest = $ Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent, if necessary. 6) $3300 at 8% for 60 days 6) A) $5.73 $.57 $7.33 $.73 For the given bond, whose interest rate is provided, find the semiannual interest payment and the total interest earned over the life of the bond. 7) $0,000 FI National Corporation 8year bond at 4.5% 7) A) $,500.00; $80, $0.00; $ $5.00; $ $450.00; $ Find the future value of the loan. 8) $ loan at 8% for 5 months 8) A) $00.00 $60.00 $65.00 $ Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent. 9) $9,000 for months; money earns 5% 9) A) $8,9.6 $57.0 $8,84.98 $8,
4 The given Treasury bill was sold in April of this year. Find (i) the price of the Tbill, and (ii) the actual interest rate paid by the Treasury. Round dollar amounts to the nearest cent and interest rates to the nearest thousandth. 30) Oneyear $3000 Tbill with discount rate 0.075% 30) A) (i) $997.75; (i) $999.78; (ii) About 0.075% (ii) About 0.008% (i) $997.30; (ii) About 0.09% (i) $300.5; (ii) About 0.075% Find the compound amount for the deposit. Round to the nearest cent. 3) $000 at 8% compounded annually for 8 years 3) A) $ $ $ $73.8 Find the compound interest earned by the deposit. Round to the nearest cent. 3) $000 at 3% compounded semiannually for 0 years 3) A) $343.9 $ $60.54 $ Find the APY corresponding to the given nominal rates. 33) 5% compounded semiannually 33) A) 5.00% 5.09% 5.% 5.06% 4
5 Answer Key Testname: MATH 34 TEST #4 REVIEW ) A ) A 3) B 4) A 5) A 6) D 7) B 8) C 9) D 0) C ) D ) D 3) D 4) D 5) A 6) A 7) C 8) B 9) A 0) D ) B ) B 3) B 4) A 5) B 6) A 7) C 8) B 9) C 30) A 3) A 3) B 33) D 5
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