A)1a. The price for a gallon of gas is uniformly distributed between $3 and $5 during the month of June in the United States. Find the mean and standard deviation of the gallon of gas. 1b. What is local state tax on gasoline in your state and how does affect the price of gas? 1c. Why does gas cost more/less in different states. B)Which of the following random variables are continuous? The time that an individual spend talking on their phones during a given week. The number of 911 calls responded daily by the NYC police The daily rentals rates for luxury cars in the US C)1a. The top 4 accounting specialties are: corporate, inventory, healthcare and retail. How many random samples of size 3, chosen without replacement are possible when selected from the population consisting of these 4 specialties? 1b. Which of those specialties interest you and if given a choice, which would you rather work in? D)2a. Describe a real world business situation for which cluster sampling would be useful in learning more about a certain population. 2b. Find business related article that uses clustering and describe its findings. Please cite your article appropriately. E)As a manager of a company you are given 2 estimates for the annual firm’s profits: 1) Estimate A predicting that the mean profit would be between $1mil and $1.5 mil which is a 95% confidence interval; 2) Estimate B that the annual profits are between $1.2 mil and $1.4 mil, a 93% confidence interval. F)2a. Give a real-world business example and explain the importance of using confidence intervals in business or other type of decisions. 2b. List the names of 1-2 leading statisticians/mathematicians that developed and made contributions to the concepts used in this module. G)1a. Provide an example of a research question in which you must test if the mean value of a variable is equal to its historical value and describe the null hypothesis. 1b. Which field of business uses these methods the most? After posting your initial response to the discussion thread, please reply to at least one other student. H)The mean GPA per student nationally is reported to be 3.2. A study is conducted to determine if the mean GPA used for homeschooled students in California is different than the national mean. Provide the null hypothesis for this study. Please remember to respond to at least one other student.