K According to a survey, the probability that a randomly selected worker primarily drives a motorcycle to work is 0.861. The probability that a randomly selected worker primarily takes public transportation to work is 0.050. Complete parts (a) through (d). (a) What is the probability that a randomly selected worker primarily drives a motorcycle or takes public transportation to work? P(worker drives a motorcycle or takes public transportation to work) = (Type an integer or decimal rounded to three decimal places as needed.) (b) What is the probability that a randomly selected worker primarily neither drives a motorcycle nor takes public transportation to work? P(worker neither drives a motorcycle nor takes public transportation to work) = (Type an integer or decimal rounded to three decimal places as needed.) (c) What is the probability that a randomly selected worker primarily does not drive a motorcycle to work? P(worker does not drive a motorcycle to work) = (Type an integer or decimal rounded to three decimal places as needed.) (d) Can the probability that a randomly selected worker primarily walks to work equal 0.15? Why or why not? O A. No. The probability a worker primarily drives, walks, or takes public transportation would be less than 1. OB. No. The probability a worker primarily drives, walks, or takes public transportation would be greater than 1. C. Yes. The probability a worker primarily drives, walks, or takes public transportation would equal 1. O D. Yes. If a worker did not primarily drive or take public transportation, the only other method to arrive at work would be to walk.

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ANSWERS ALL PARTS A,B,C A) Roll a dice, X=the number obtained. Calculate E(X), Var(X). Use two expressions to calculate variance. B) Two fair dice are tossed, and the face on each die is observed. Y=sum of the numbers obtained in 2 rolls of a dice. Calculate E(Y), Var(Y). C) Roll the dice 3 times, Z=sum of the numbers obtained in 3 rolls of a dice. Calculate E(Z), Var(Z) from the result of part a and b.

40% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. The probability is (Round to three decimal places as needed.) ...

What is the probability that Z is between −1.58 and 1.84​?   The probability that Z is between −1.58 and 1.84 is _________

Insurance: An insurance company sells a 1-year term life insurance policy to an 80-year-old woman. The woman pays a premium of $4000. If she dies within 1 year, the company will pay $53,000 to her beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 80-year-old woman will be alive 1 year later is 0.9259. Let X be the profit made by the insurance company. Part: 0 / 2 Part 1 of 2 (a) Find the probability distribution. The probability distribution is X P(x) 4000 ☑

K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X