MATH 115aJeopardyDouble JeopardyFinal JeopardyCESLFamous Events 100Famous Events 200Famous Events 300Famous Events 400Famous Events 500That’s likely! 100That’s Likely 200That’s Likely 300That’s Likely 400That’s Likely 500RVs 100RVs 200RVs 300RVs 400RVs 500Great Expectations 100Great Expectations 200Great Expectations 300Great Expectations 400Great Expectations 500Purple Bayes’ 100Purple Bayes’ 200Purple Bayes’ 300Purple Bayes’ 400Purple Bayes’ 500Loans 100Loans 200Loans 300Loans 400Loans 500Compound Interest 100Compound Interest 200Compound Interest 300Compound Interest 400Histograms 100Histograms 200Histograms 300Histograms 400Distributions 100Distributions 200Distributions 300Distributions 400Options 100Options 200Options 300Options 400MATH 115aReviewJeopardyFamous EventsThat’s Likely!RVsGreat ExpectationsPurpleBayes’Loans100 100 100 100 100 100200 200 200 200 200 200300 300 300 300 300 300400 400 400 400 400 400500 500 500 500 500 500Double JeopardyCompound InterestHistograms Distributions Options100 100 100 100200 200 200 200300 300 300 300400 400 400 400Final Jeopardy•Final Exam•Tuesday May 10th, 2005•5:00pm to 7:00pm•Get to the exam no later than 4:45pm•Room: CESL 103CESLFamous Events 100•Let V be the event that a tourist visited a certain museum and let S be the event that the tourist went to a sporting event. Describe in words the event •Answer: This is the event the tourist visited a museum or attended a sporting event (or both).SV Famous Events 200•Let V be the event that a tourist visited a certain museum and let S be the event that the tourist went to a sporting event. Shade in the Venn Diagram describing the event that a tourist went to a sporting event but not a museum.Famous Events 300•Let B be the event that a student is a business major and F be the event that a student is female. Describe in words the event depicted in the Venn Diagram below:•Answer: A person is not both a business major and female.Famous Events 400•Let B be the event that a student is a business major and F be the event that a student is female. Shade in the Venn Diagram for the event . What is this event describing in words?•Answer: A person is neither a business major nor femaleCCFB Famous Events 500•Let B be the event that a student is a business major and F be the event that a student is female. Describe in words the event depicted in the Venn Diagram below:•Answer: all females students together with non-business majors. FBCThat’s likely! 100•Suppose that , P(A)=0.45 and P(B) = 0.80. What is ? •Answer: 0.75SBA CBAP That’s Likely 200•The probabilities of A and B are 0.20 and 0.75 respectively. If A and B are independent, then what is ?•Answer: 0.80 BAP That’s Likely 300•A survey conducted in a certain metropolitan area showed that 87% of residents owned a personal computer, 36% owned a laptop, and 29% of residents owned both. What percentage of residents own a personal computer but not a laptop?•Answer: 58%That’s Likely 400•At the student recreation center, a survey found that 70% of students regularly use the swimming pool, 50% regularly use racquet ball courts, and 25% regularly use both. What percentage of students who use the swimming pool also use the racquet ball courts?•Answer: 35%That’s Likely 500•Draw a Venn diagram using the following probabilities ( ) .45, ( ) .5, ( ) .65P B P F P B F RVs 100•Let D be the random variable for the absolute difference of the numbers when two fair dice are rolled. List all the possible value of D.•Answer: 0, 1, 2, 3, 4, 5RVs 200•A student takes a three question true-false quiz and guesses on every answer. Let X be the number of questions that were answered correctly. Fill in the table below:X=x 0 1 2 3P(X=x)X=x 0 1 2 3P(X=x) 0.125 0.375 0.375 0.125RVs 300•Let T be the amount of time a person signs a lease for a new car. T can only assume value of 12, 24, 36, 48, or 60. Historical records show that:•What is P(T=60)?•Answer: 0.10T=t 12 24 36 48 60P(T=t) 0.06 0.25 0.34 0.25RVs 400•Suppose the Bureau of the Census surveys a group of married couples and records the number of children born to them.•Find probability that at most there are 4 children born to a couple.•Answer: 0.97# children born to the couples0 1 2 3 4 5 6 7 8Number of Couples50 107 201 102 25 9 3 2 1RVs 500•Suppose the Bureau of the Census surveys a group of married couples and records the number of children born to them.•Find probability that there are 4 children born to a couple.•Answer: 0.05# children born to the couples0 1 2 3 4 5 6 7 8Number of Couples50 107 201 102 25 9 3 2 1Great Expectations 100•Let T be the amount of time a person signs a lease for a new car. T can only assume value of 12, 24, 36, 48, or 60. Historical records show that:•What is E(T) ?•Answer: 36.96T=t 12 24 36 48 60P(T=t) 0.06 0.25 0.34 0.25Great Expectations 200•Consider the game of roulette with the numbers 0, 00 (green) and 1, 2, 3, 4, . . . 36 (half are red and half are black). If a red occurs, then you win $2.00. If a black occurs you lose $2.00. If a green occurs, then you lose $1.00. How much can you expect to win?•Answer: -0.026Great Expectations 300•What is a practical interpretation for the expected value of a random variable? (check all that apply):1. The expected value tells us the average of the observed values of X in a large number of repetitions of the experiment.2. The expected value is one of the possible values of X3. The expected value is the most likely value of X.Great Expectations 400•A retailer purchases men’s shirts for $3.00 each and sells them for $5.00 each. Based on past sales records, he estimates the following probabilities for his weekly sales:•If X is the random variable representing the retailer’s profit, compute E(X).•Answer: $4.60# shirts sold 0 1 2 3 4probability 0.1 0.1 0.3 0.4 0.1Great Expectations 500•You pay $10 to play a game of chance. There are twelve balls in a bag. Five of them are red, three of them are green, and the rest are yellow. You are to draw one ball from the bag. You will win $14 if you draw a red ball and you will win $12 if you draw a yellow ball. How much do you expect to win or lose after you have played one hundred games? •Answer: lose $16.00Purple Bayes’ 100•An important component of
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