Studies show that 80% of Americans own cars (second only to Italy). If we take a sample of 60 American and we are going to calculate probabilities of getting sample proportions, answer the following questions.

a) Can we assume the sampling distribution of sample proportions is normally distributed? In other words, can we use the properties of normal distribution? Why? SHOW YOUR WORK (2 marks)

b) What's the probability that in a sample of 60 Americans, 42 Americans own a car?(3 marks)

c) What's the probability that in a sample of 60 Americans, between 42 Americans and 48 Americans own a car ?(3 marks)