Show your calculations in detail please..
- Suppose that a researcher is conducting a study on fast foodhabits and assumes that 55% of adults prefer hamburger to pizza. Herandomly selects 10 adults and ask whether they prefer hamburger topizza or not. Based on this information, answer the followingquestions.
a) (20 pts) Define the randomvariable (in words) and check whether it is a binomial randomvariable or not and write your conclusion. Explain your answer.
b) (10 pts) What is theprobability that at least 8 adults prefer hamburger?
c) (10 pts) What is theprobability that as most 3 adults prefer hamburger?
d) (15 pts) What is theexpected number of people who prefer hamburger.
e) (15 pts) Calculate the standard deviation of thisrandom variable and interpret it.
