Hi can I get some help on these questions
Los Angeles workers have an average commute of 30 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 14 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N b. Find the probability that a randomly selected LA worker has a commute that is longer than 36 minutes. c. Find the 75th percentile for the commute time of LA workers. minutes In the 1992 presidential election, Alaska's 40 election districts averaged 1854 votes per district for President Clinton. The standard deviation was 598. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places. a. What is the distribution of X? X ~ N b. Is 1854 a population mean or a sample mean? Select an answer c. Find the probability that a randomly selected district had fewer than 1845 votes for President Clinton. d. Find the probability that a randomly selected district had between 2034 and 2142 votes for President Clinton. e. Find the first quarule for votes for President Clinton. Round your answer to the nearest whole number. Private nonprofit four-year colleges charge, on average, $27,926 per year in tuition and fees. The standard deviation is $7,413. Assume the distribution is normal. Let X be the cost for a randomly selected college, Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 23,624 per year. c. Find the 66th percentile for this distribution. S (Round to the nearest dollar.) The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 0.8 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 20 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 17.8 feet tall? e. What is the probability that a randomly selected giraffe will be between 18.3 and 18.9 feet tall? The 80th percentile for the height of giraffes is The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $8 each and will sell 500 tickets. There is one $1,000 grand prize, four $400 second prizes, and eighteen $10 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent. $ 2.44
