Astudy of the career paths of hotel general managers sent questionnaires to an srs of 230 hotels belonging to major u. s. hotel chains. there were 119 responses. the average time these 119 general managers had spent with their current company was 11.63 years. (take it as known that the standard deviation of time with the company for all general managers is 1.3 years.)
a. find the margin of error for an 80% confidence interval to estimate the mean time a general manager had spent with their current company: years
b. find the margin of error for a 99% confidence interval to estimate the mean time a general manager had spent with their current company: years

Subject: geometryneed with 6 and 7

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)

There are a total of 75 students in the robotics club and the science club. the science club has 11 more students than the robotics club. how many students are in the science club?