Suppose that, 15% of customers, of a nationwide electronics store, choose to purchase extended warranties. The store randomly samples 300 recent sales from its records. Say that 48 of those sampled had purchased an extended warranty.

a) In the context of this question, check the conditions for the sampling distribution of the sample proportion.[2 marks]

b) What is the probability that greater than 48 from the 300 customers sampled, had purchased the extended warranty at this electronics store?[3 marks]