Quiz14

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City College of San Francisco *

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115

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Statistics

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Feb 20, 2024

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Uploaded by ConstableJellyfishMaster2657

Question 1 1/1pts What is the probability of being dealt a 5-card hand with 2 jacks from a standard deck of 52 cards ? Respond with a decimal representation rounded to 2 decimals for this probability value. 0.04 Question 2 1/1pts The probability of any event is the number of outcomes in the event divided by the total number of outcomes. True False Question 3 1/1pts A discrete sample space is a countable set whose elements are called outcomes. True False Question 4 1/1pts A probability function Pr on a sample space S is functions with which of the following constraints? Choose all that apply. Pr:S—[0,11cR oes Prioy =1

Question 5 1/1pts For a standard probability tree model: * The outcomes of the sample space are represented by the leaves of the tree. e The outcome probabilities can be calculated from branch probabilities. True False Question 6 1/1pts An event is a subset of the sample space. True False Question 7 1/1pts For any events A, Ay, ..., \(Pr\{A_O \cup A_1 \cup A_2 \cup \cdots\} = Pr\{A_O\} + Pr\{A_1\} + Pr\fA_2 \}+ \cdots\\) True False

Question 8 1/1pts Choose the following statements that are true for any events A, B. Pr{Avu B} = Pr{A} + Pr{B} — Pr{An B} Pr{AU B} = Pr{A) + Pr{B) Pr{Au B} < Pr{A} + Pr{B) Pr{AU B} > Pr{A} + Pr{B) Pr{A} < Pr{An B} Pr{A} < Pr{AU B) Question 9 1/1pts Suppose that there are 95 students in a class. The probability that some birthday (365 possible birthdays) is shared by two people is more than 0.9999. True False Question 10 1/1pts The probability of being dealt a full house & from a standard deck of 52 cards e is 18 divided by what number? Enter your response as an integer value. 12,495

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Question 11 1/1pts With a fair die, what is the probability of rolling a 1 knowing that an od number was rolled? Respond with a decimal representation rounded to 2 decimals for this probability value. 0.33 Question 12 1/1pts For any events A, B, Pr{An B} = Pr(A} - Pr{B| A} True False Question 13 1/1pts If S is the disjoint union of By, By, ..., then PrlA] = Y, Pr{An B;] True False

Question 14 1/1pts If a person has a specific disease, then a certain test for the disease is guaranteed to detect it. However, if they don't have that diseases, then the test says they don't have the disease 99% of the time (99% accuracy). The test has been administered the results say that the individual has the disease. What is the probability that the person actually has the disease assuming that the probability of having the disease regardless of the test results is 1/100007? Respond with a decimal representation rounded to 2 decimals for this probability value. 0.01

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