Dystopia county has three bridges. In the next year, the Elder bridge has a 10% chance of collapse, the Younger bridge has a 2% chance of collapse, and the Ancient bridge has a 16% chance of collapse. What is the probability that exactly one of these bridges will collapse in the next year? (Round your final answer to four decimal places. Do not round intermediate calculations.)

A recent survey showed that 17% of community college students experienced at least some homelessness during their first year at a community college. Surveys also show that 80% of community college students need to take English their first year at a CC. Based on these surveys what is the probability of first year CC students experiencing at least some homeless during their first year and taking an English class? Show the formula, the math plug-ins, and answer.

Suppose an oil company is thinking of buying some land for $10,000,000. There is a 60%60% chance of economic growth and a 40%40% chance of recession. The probability of discovering oil is 44%44% when there is economic growth and 32%32% when there is a recession. If there is economic growth and the oil company discovers oil, the value of the land will triple. If they do not discover oil, the value of the land will decrease by 10%.10%. If there is a recession and the company discovers oil, the value of the land will increase by 50%.50%. If they do not discover oil, the land will decrease in value by 75%.75%. What is the expected value of the investment? Give your answer to the nearest dollar. Avoid rounding within calculations. $$     Select the correct interpretation of the expected value. The expected value represents what the actual investment value will be for this land purchase of $10,000,000. The company should make the investment because the expected value…

A junk drawer at home contains nine pens, five of which work. What is the probability that you randomly grab two pens from the drawer and don’t end up with a pen that works? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

John can take one of two highways, Interstate A and Interstate B, to get to work each day. The probability that there will be a traffic jam on Interstate A on a given day is 0.65, and the probability that there will be a traffic jam on Interstate B is 0.2. The probability that there will be a traffic jam on at least one of Interstate A or Interstate B is 0.8. Determine the probability that both Interstate A and B will be congested. 0.235 None in the list 0.050 0.062 0.765 Submit Answer Tries 0/3 Determine the probability that Interstate B is congested given that Interstate A is congested. 0.250 0.077 0.812 0.062 None in the list Submit Answer Tries 0/3 Determine the probability that there is a traffic jam on Interstate A given that at least one of the Interstates has a traffic jam. 0.062 None in the list 0.250 0.812 0.077

Suppose a weather report indicates that the probability of rain this week is 0.20. This week Next week According to the report, if it rains this week, then the probability of rain next Rain week is 0.33. If it does not rain this week, then the probability of rain next week is 0.17. The tree diagram models this weather report. 0.33 Rain 0.20 Determine the probability that it will not rain for the next two weeks. Express 0.67 No rain your answer as a decimal precise to two decimal places. Rain 0.17 probability = 0.80 No rain 0.83 No rain

If the probability that the Islanders will beat the Rangers in a game is 81%, what is the probability that the Islanders will win at least three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.

A company offers guided tours of remote areas of the world. Each tour consists of 20 people. The probability of selling a ticket for any given spot on the tour is 0.86. The costs to the company are approximately the same regardless of the number of people that show up. To offset the risk associated with a tour not filling up, the company purchases a specialized insurance policy. The policy pays 100 for each ticket that is left unsold, up to a maximum of 400. Let P be the amount that the insurance policy pays to the company for a specific tour. Calculate E[P] to the nearest dollar. O 251 O244 O 259 O 267 275

Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.

Please show your solution. A petroleum company exploring for oil has decided to drill 2 wells, one after the other. The probability of not striking oil in the first well is 0.25. Given that they strike oil in the first attempt, the probability of striking oil in the second attempt is 0. 85. What is the probabilty of striking oil in both wells?