Q. 2 A car dealer notes the following probabilities about his customers: P(those who buy a new car) = 0.25 P(those who buy a European car) = 0.30 P(those who neither buy a new car nor an Europeantcar) = 0.53 %3D %3D %3D Find the probability that next customer buys a new European car?

(a) The probabilities that a customer will purchase a new car from Green, white, red or blue color are respectively 0.11, 0.14, 0.22 and 0.25. Find the probability that the new customer will not purchase car from these colors.

Kindly help. It's been posted for days now

At the close of the stock markets on a day in 2013, there were 5905 companies listed with a certain stock exchange. On this day, the probabilities of advancing, declining, and unchanged company stocks appears in the table for the two exchanges. Find the probability an unchanged stock was listed on Exchange 1. Exchange Exchange 1 Exchange 2 Percentage of Probability of Probability of Stock Stock Companies Listed Advancing Declining 0.045 0.267 0.047 0.297 54.4% 45.6% The probability that an unchanged stock was listed on Exchange 1 is (Round to three decimal places as needed.) Probability the Stocks Remain Unchanged 0.045 0.047

An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities. P(high-quality oil) = 0.45 P(medium-quality oil) = 0.25 P(no oil) = 0.30 a. What is the probability of finding oil (to 2 decimals)? 0.70 b. After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are given below. P(soil high-quality oil) = 0.20 P(soil medium-quality oil) = 0.90 P(soil no oil) 0.20 Given the soil found in the test, use Bayes' theorem to compute the following revised probabilities (to 4 decimals). P(high-quality oil soil) 0.2308 P(medium-quality oil soil) 0.5769 X P(no oil soil) 0.1538 What is the new probability of finding oil (to 4 decimals)? Medium-quality 0.8077 According to the revised probabilities, what is the quality of oil that is most likely to be found?

EXAMPLE 32. The probability that a contractor will get a plumbing contract is 2/3, and the probability that he will not get an electric contract is 5/9, the probability of getting at least one contract is 4/5, what is the probability that he will get both ?