What is the probability of selecting a family that has either a Visa card or an American Express card? If a family has a MasterCard, what is the probability that it has a Visa card? If a family has a...

Question # 1 In a city in Italy, 30% of the families have a MasterCard, 20% have an American Express card, and 25% have a Visa card. Eight percent of families have both a MasterCard and an American Express card. Twelve percent have both a Visa Card and a MasterCard. Six percent have both an American Express card and a Visa card. What is the probability of selecting a family that has either a Visa card or an American Express card? If a family has a MasterCard, what is the probability that it has a Visa card? If a family has a Visa card, what is the probability it has a MasterCard? Show all work. Question # 2 A National study has determined that people who work full time average 43.4 hours worked per week. Assume that the number of hours worked per week for those who work full time is normally distributed. Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for those workers? Problem Set Suppose the age distribution in Sydney is as follows: A researcher is conducting proportionate stratified random sampling with a sample size of 250. Approximately how many people should be sampled from each stratum? Candidate Hughes believes she will receive 55% of the total votes cast in her county. However, in an attempt to validate this figure, her pollster contacts a random sample of 600 registered voters in the county. The poll results show that 298 of the voters say they are committed to voting for her. If she actually has 55% of the total vote, what is the probability of getting a sample proportion this small or smaller? Do you think she actually has 55% of the vote? Why or why not? The average cost of a one bedroom apartment in a town is $550 per month. What is the probability of randomly selecting a sample of 50 one bedroom apartments in this town and getting a sample mean of less then $530 if the population standard deviation is $100? Assignment Part 2 Use the...