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prob & randvar(1)

prob & randvar(1) - Practice Problems for...

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Practice Problems for Probability & Random Variables © 2010 Radha Bose FSU Department of Statistics 1 1. Match the pairs of events below with the answer choices in the table. Pair I, II or III Classification Disjoint (therefore also Dependent) Not disjoint & Independent Not disjoint & Dependent I — Choose a college junior at random and let A = {they are currently studying Statistics, Economics and Accounting} B = {they graduate with a medical degree} II — Choose a person at random and let A = {that person was born in Seattle} B = {that person was born in Florida} III — Choose a wine at random and let A = {the grapes were grown in California} B = {the wine is sold in glass bottles} 2. Classify the following random variables as discrete (D) or continuous (C). R = the exact number of characters printed on a randomly selected page of this packet S = the exact square footage of a randomly selected apartment T = the exact amount of gas it takes to drive from FSU to your (off-campus) home U = the amount of water that a randomly selected giraffe drinks in a day V = the weight of a randomly selected newborn giraffe W = the number of eyelashes on a randomly selected giraffe X = the time it takes for a randomly selected giraffe to run 77 miles Y = the number of giraffes that live in a randomly selected zoo/sanctuary Z = the number of nails on the fence around a randomly selected giraffe enclosure 3. Classify the following random variables as discrete (D) or continuous (C). For the ones that are discrete, write down the sample space. W = the number of crackers consumed by a randomly selected guest at a certain restaurant one day (assume that crackers are given out free and in unlimited quantity) X = the amount of zinc present in a randomly selected cold tablet Y = the mean of three randomly selected numbers from the set {2, 4, 6, 8}, no repeats allowed Z = the internal temperature of a randomly selected piece of chicken on the grill at a certain restaurant one day 4. Which ONE of the following tables gives a legitimate assignment of probabilities for blood type? (A) (B) (C) (D) Bl.Type Prob. Bl.Type Prob. Bl.Type Prob. Bl.Type Prob. A 0.35 A 0.25 A 0.35 A 0.05 B 0.35 B 0.25 B -0.05 B 0.45 O 0.35 O 0.25 O 0.35 O 0.35 AB 0.35 AB 0.15 AB 0.35 AB 0.15
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Practice Problems for Probability & Random Variables © 2010 Radha Bose FSU Department of Statistics 2 5. So what are you doing for Valentine's Day? ° ° ° It is possible that you go out for a movie with your special someone (M). It is also possible that you go out for dinner (D) with your special someone. The Venn Diagram below shows the possibilities. For each part of this question, draw the same diagram (but use circles to represent M and D) and shade in the event described. (a) You go out for both a movie and dinner. (b) You'll go out for a movie or dinner, but you can't afford both.
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