4. [10 marks] In a sample of 100 tables presently,r used in classrooms, Carleton university has found that 15% of them must be replaced. {a} [3 marks] Is this a binomial experiment? Why or why not? 'What is the random variable of interest? (b) [2 marks] Verify if the normal distribution can he used to approximate this binomial distri- bution problem. (:1) (3 marks) Calculate the probability that It} presently used tables would have to be replaced. (Hint: Use the conclusion you derived in part b since no such binomial table for n. = 100 is available.) (d) [2 marks} Determine the average number of tables presently used would have to be replaced