In probability theory, being able to calculate P(A/B) when P(B/A) is known is related to which of the following: Select one: a. Independent Probabilities O b. Classical Probability Theory O c. Bayes Theorem d. Posterior Probabilities
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- Is the following a probability model? What do we call the outcome "yellow"? Color Probability red 0.2 0.2 green blue 0.15 brown 0.25 yellow orange 0.2 Is the table above an example of a probability model? O A. Yes, because the probabilities sum to 1. O B. No, because not all the probabilities are greater than 0. OC. No, because the probabilities do not sum to 1. O D. Yes, because the probabilities sum to 1 and they are all greater than or equal to 0 and less than or equal to 1.Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 149 subjects with positive test results, there are 24 false positive results; among 157 negative results, there are 22 false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana.Daily sales records for a car dealership show that it will sell 0, 1, 2, or 3 cars, with probabilities 0.3, 0.5, 0.15, 0.05 respectively let X be the number of sales in a 2-day period, assuming that the sales are independent from day to day. The probability that two or more sales are made in the next 2 days is
- Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 142 subjects with positive test results, there are 23 false positive results; among 150 negative results, there are 3 false negative results. i one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.) The probability that a randomly selected subject tested negative or did not use marijuana is (Do not round until the final answer. Then round to three decimal places as needed.)Only need help with part cUse the contingency table to determine the following probabilities. a. P(B or C) b. P(B or D) c. P(A or E) d. P(A or B) a. P(B or C) = 0.56 (Round to two decimal places as needed.) b. P(B or D)= 0.70 (Round to two decimal places as needed.) c. P(A or E) = 0.76 (Round to two decimal places as needed.) d. P(A or B) = (Round to two decimal places as needed.) Event C Event D Event E S Event A 7 14 8 Event B 10 2 9
- Calculate the following probabilities. Express probabilities as unsimplified fractions and percents. c) Probability of a 2 and a Heart? Fraction = ______________ Percent = ___________ d) Probability of a Red card or a King? Fraction = _______________ Percent = ___________Refer to the contingency table shown below: SMOKING BY RACE FOR MALES AGED 18 TO 24 White (W) Smoker-255 Non-S 571 Black (B) Smoker-12 Non-S 162 A. Calculate the probability is given below. (Round your answers to four decimal places.) I. P(S) ____ II. P(W) ____ III. P (S|W) ____ IV. P(S|B) ____ V. P (S and W) ____ VI. P (N and B) ____Based on the result, find the probability that the selected student is:a. is male or his blood type is O. (7 Marks)b. is female given that her blood type is B. (6 Marks)c. female and her blood type is AB (3 Marks)d. from blood type A given that he is male. (6 Marks)e. not from blood type O
- The contingency table below summarizes a survey of 1,000 bottled beverage consumers. Lives in a state with a deposit law Lives in a state with no deposit law Row Total Recycles beverage bottles 133 189 322 Does not recycle beverage bottles 67 611 678 Column Total 200 800 1,000 Find the following probabilities or percentages: (a) Probability that a consumer recycles beverage bottles. (Round your answer to 2 decimal places.) P(Recycles) (b) Probability that a consumer who lives in a state with a deposit law does not recycle. (Round your answer to 2 decimal places.) P(Don’t Recycle | Lives in Deposit Law State) (c) Percentage of consumers who recycle and live in a state with a deposit law. (Round your answer to 1 decimal place.) Percentage of consumers % (d) Percentage of consumers in states with a deposit law who recycle. (Round your answer to the nearest whole percent.) Percentage…Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 141 subjects with positive test results, there are 28 false positive results; among 155 negative results, there are 5 false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana
