Problem: In the past, the probabilities are 0.5, 0.2. 0.2 and 0.1 that the individual Income Tax Return forms of the employees of a certain form are filled out correctly, contained only errors favoring the taxpayer, contained only errors favoring the government, or contained both kinds of errors, respectively. A. What kind of distribution does X have? B. From the latest batch of submitted tax forms, a sample of 70 was randomly chosen. What is the probability that 30 forms were filled out correctly, 15 contained only errors favoring the taxpayer, 15 contained only errors favoring the government, and 10 contained both kinds of errors? C. From the latest batch of submitted tax forms. a sample of 70 was randomly chosen. What is the expected number of forms that will contain errors both favoring the taxpayer and the government? Round off to the nearest hundredths.

4 children. He makes a fast, wrong estimate of the probability of various mixes of boys and girls among QUESTION 3. Mr. Fastwrong is working for the census department and he is counting families that have the families. His assistant, Ms. Slowright, analyzes the issue and corrects his work. Fill her corrections of his wrong guesses into the table below. Number of boys among the 4 children 1 0 4 3 2 Number of girls among the 4 children 0 1 2 4 Use fractions (not percents) in your answers. Mr. Fastwrong's estimate of the fraction of families having this distribution of boys and girls 1/5 1/5 1/5 1/5 1/5 Ms. Slowright's estimate of the fraction of families having this distribution of boys and girls

21. A survey involving 600 Democrats, 400 Republicans and 200 Independents asked the question: "Do you favor or oppose eliminating taxes on dividends paid to shareholders?" The following results were obtained: Answer Democrats, % Republicans, % Independents, % Favor 29 66 48 Орpose 71 34 52 What is the probability that a person selected at random from this survey answered "favor"?

1. The Sports Associates Vending Company supplies refreshments at a baseball stadium and must plan for the possibility of a World Series contest. In the accompanying 4 13 5 22 frequency table (based on past results), x 20 represents the number of baseball games 34 required to complete a World Series contest. a. Construct the corresponding relative frequency table. b. Does the result from part a describe a probability distribution? Why or why not? c. Based on the past results, what is the probability that the next World Series contest will last at least 5 games? d. If two different series included in the table are randomly selected, find the probability that they both lasted 7 games. e. Find the mean number of games for the World Series contests included in the table. f. Find the standard deviation for the number of games for the World Series contests included in the table. g. What is the expected number of games for a World Series contest? If a vendor supplies hot dogs to both stadiums…