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The contingency table below summarizes a survey of 1,000 bottled beverage consumers. Lives in a state Lives in a state with with a deposit law no deposit law Rm Total Recycles beverage bottles 16% 194- 354 Does not recycle beverage bottles 54- 592 646 Column Total 214- ?85 1,606 Find the following probabilities or percentages: {a} Probability that a consumer recycles beverage bottles. {Round your answer to 2 decimal places} Fl'Recycl e s} {b} Probability that a consumer who lives in a state with a deposit law does not recycle. {Round your answer to 2 decimal places.) FIDon't Recycle | Lives in Deposit Law State} |:| {1:} Percentage of consumers who recycle and live in a state with a deposit law. {Round your answer to 1 decimal place.} Percentage of consumers '36 {d} Percentage of consumers in states with a deposit law who recycle. {Round your answer to the nearest whole percent} Percentage of consumers '36 The discrete random variable Xis the number of students that show up for Professor Smith's office hours on Monday afternoons. The table below shows the probability distribution for X. What is the expected value EIX} for this distribution? X 9 1 2 3 Total PfX) .49 .39 .29 .19 1.99 A random variable is binomially distributed with n =16 and IT = .40. The expected value and standard deviation of the variables are Multiple Choice 0 2.00 and 1.24 4.80 and 4.00 2.00 and 1.20 O 5.40 and 1.96 Tire pressure monitoring systems {TPMS} warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure of a certain car is 31 psi [pounds per square inch.) (a) At what psi will the TPMS trigger a warning for this car? {Round your answer to 2 decimal place.} When the tire pressure is (Click to select} v psi. {b} Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi. Ifthe car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.) Probability (c) The manufacturer's recommended correct ination range is 29 psi to 33 psi. Assume the tires' average psi is on target If a tire on the car is inspected at random, what is the probability that the tire's inflation is within the recommended range? {Round your intermediate calculations and final answer to 4 decimal places.) Probability |:| Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 23 minutes and a standard deviation of 5 minutes, while method 3 has a mean of 27 minutes and a standard deviation of 2.5 minutes. In} Which procedure is preferred ifthe procedure must be completed within 24 minutes? 0 Method A O Method B O Either Method lb} Which procedure is preferred if the procedure must be completed within 34.5 minutes? 0 Method A 0 Method B 0 Either Method (c) Which procedure is preferred if the procedure must be completed within 31 minutes? 0 Method A O Method B (\"W Eilhar Micah nA
