The following data show the probabilities for the number of cars sold in a given day at Alex's car dealer store. X P(X) 0.13 0.10 1 2 0.28 3 P (3) 4 0.17 0.09 0.11 What is the probability that three cars were sold in a day?
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- The following table describes the contents of a bag that contains red, green, blue, pink, and white marbles. Color Number of Marbles Red 23 Green 2 Blue 27 Pink 15 White 10 If you select a single marble out of the bag, what is the probability that it is a color other than white or blue? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.In the winter, guests who visit Yosemite National Park like to stay at an overnight lodge in the park 71 % of the time. Find the probability that among 11 guests surveyed exactly 3 guests like to stay at an overnight lodge in the park. P(x = 3) =A group of 11 students' cholesterol levels are tested. Suppose the probability of a student having a healthy cholesterol level is 0.25. What is the probability that exactly seven out of 11 students have healthy cholesterol levels? (Round your answer to three decimal places.)
- Determine the following probabilities. Leave your answer as a percent to the nearest tenth (one decimal after converting to %). The probability of spinning an even number or multiple of 5 on the equal section spinner with numbers 1-20. Leave your answer as a percent to the nearest tenth (one decimal) after converting to %. You can leave out the % sign.Frank noticed that his mother will serve salad with dinner 78% of the nights, will serve potatoes with dinner 30% of the nights and will serve both 14% of the nights. The probability, to the nearest hundredth, that Frank's mother will serve salad or potatoes isIf 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.
- Solve the following problems. 1. A bakeshop owner determines the number of boxes of hopia that are delivered each day. Find the mean of the probability distribution shown. Number of Boxes (X) Probability P (X) 35 0.10 36 0.20 37 0.30 38 0.30 39 0.10 2. The probabilities that a surgeon operates on 3, 4, 5, 6, or 7 patients in any day are 0.10, 0.20, 0.15, 0.30 and 0.25, respectively. Find the mean of the probability distribution using the formula. 3. Suppose your wallet contains ten P20 bills, five P50 bills, three P100 bills, one P500 bill, and one P1000 bill. Find the u of this distribution and interpret the result.Suppose that 51% of the people who inquire about investments at a certain brokerage firm end up investing in stocks, 41% end up investing in bonds, and 61% end up investing in stocks or bonds (or both). What is the probability that a person who inquires about investments at this firm will invest in both stocks and bonds? Write your answer as a decimal (not as a percentage).A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. • Let X = the number of years a student will study ballet with the teacher. • Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) x P(x) x*P(x) 1 0.10 2 0.10 3 0.20 4 5 0.20 6 0.20 7 0.05
- Ashley’s Internet service is terribly unreliable. In fact, on any given day, there is a 60% chance that her Internet connection will be lost at some point that day. What is the probability that her Internet service is not broken for seven days in a row? Enter a fraction or round your answer to 4 decimal places, if necessary.What is the probability a student will take 2 or 3 classes in a semester?If the probability that the Islanders will beat the Rangers in a game is 1/3, what is the probability that the Islanders will win exactly three out of three games in a series against the Rangers? Round your answer to the nearest thousandth.