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Doncouse_Jeremy_Week4

# Doncouse_Jeremy_Week4 - Jeremy Doncouse MATH116 Student ID...

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Jeremy Doncouse MATH116 Student ID: 92575 Section 4.1 10 A probability experiment is conducted. Which of these cannot be considered a probability of an outcome? a. 1/3 d. -0.59 g. 1 b. - 1/5 e. 0 h. 33% c. 0.8 f. 1.45 i. 112% 12 a. Of getting a 4 P(4) = 1/6 b. Of getting an even number P(even #) = 3/6 = 1/2 c. Of getting a number greater than 4 P(>4) = 2/6 = 1/3 d. Of getting a number less than 7 P(<7) = 6/6 = 1 e. Of getting a number greater than 0 P(>0) = 6/6 = 1 f. Of getting a number greater than 3 or an odd number P(>3 or odd #) = 4/6 = 2/3 g. Of getting a number greater than 3 and an odd number P(>3 & odd #) = 1/6 14 a. An ace P(ace) = 4/52 = 1/13 b. A diamond P(diamond) = 13/52 = 1/4 c. An ace of diamonds P(ace of diamonds) 1/52 d. A 4 or a 6 P(4 or 6) = 8/52 = 2/13 e. A 4 or a club P(4 or club) = 16/52 = 4/13 f. A 6 or a spade P(6 or spade) = 16/52 = 4/13 g. A heart or a club P(heart or club) = 26/52 = 1/2 h. A red queen P(red queen) = 2/52 = 1/26 i. A red card or a 7 P(red card or 7) = 28/52 = 7/13 j. A black card and a 10 P(black 10) = 2/52 = 1/26 20 60 mph 65 mph 70 mph 75 mph 1 (HI) 18 18 13 Choose one state at random. Find the probability that its speed limit is a. 60 or 70 miles per hour P( 60 or 70 mph) = 19/50 b. Greater than 65 miles per hour P(>65 mph) = 31/50 c. 70 miles per hour or less P(70 mph or less) = 37/50 22 rolled. Find the probability of winning on the first roll. Die 1 Die 2 1 2 3 4 5 6 1 1,1 1,2 1,3 1,4 1,5 1,6 2 2,1 2,2 2,3 2,4 2,5 2,6 3 3,1 3,2 3,3 3,4 3,5 3,6 4 4,1 4,2 4,3 4,4 4,5 4,6 5 5,1 5,2 5,3 5,4 5,5 5,6 6 6,1 6,2 6,3 6,4 6,5 6,6 Section 4.1: 10, 12, 14, 20, 22, 25, 28, 30, 32, 36 Section 4.2: 2, 10, 14, 16, 20, 24 Section 4.3: 1, 8, 12, 16, 34, 42 Section 4.4: 13, 14, 16, 18, 20, 27, 28, 30, 38, 40 Section 4.5: 2, 6, 10, 12, 14 Rolling a Die . If a die is rolled one time, find these probabilities. Drawing a Card . If one card is drawn from a deck, find the probability of getting these results. Rural Speed Limits . Rural speed limits for all 50 state are indicated below Craps Game . In the game of craps using two dice, a person wins on the first roll if a 7 or an 11 is

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P(7 or 11) = 8/36 = 2/9 25 of getting these results. a. An odd number (Do not count 0 or 00) P( odd #) = 18/38 = 9/19 b. A number greater than 27 P(>27) = 9/38 c. A number that contains the digit 0 P(# contains 0) = 5/38 d. Based on the answers to parts a, b, and c, which is the most likely to occur? Explain. An odd number is most likely to occur because 9/19 is just over 47% while the other two are both less than 25%. 28 United States is shown below. Choose one energy source at random. Find the probability that it is a. Not oil P(not oil) = 1 - P(oil) = 1 - .39 = .61 b. Natural gas or oil P(natural gas or oil) = .63 c. Nuclear P(nuclear) = .8 Oil 39% Natural gas 24% Coal 23% Nuclear 8% Hydropower 3% Other 3% 30 50% from individual income taxes 32% from social insurance payroll taxes 10% from corporate income taxes 3% from excise taxes 5% other 100% If a revenue sources is selected at random, what is the probability that it comes from individual or corporate income taxes? P(individual or corporate) = 60/100 = 3/5 32 There are 16 possibilities (2x2x2x2) each equally as likely.
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