2. In a study of pet owners, it was reported that 24% celebrate their pet’s birthday. Suppose that this estimate was based on a random sample of 200 pet owners. (a) What’s the expected proportion of the population that celebrate their pet’s birthday? (b) What’s the standard deviation of sample proportions? Round to 4 decimals. (c) Would the sampling model be Normal? Explain. (d) What is the probability that the proportion of people in the sample who celebrate their pet’s birthday is less than 25%? Round to 4 decimals. (e) Based on the sampling distribution model for this scenario, we should expect about 95% of the samples to show that between % and % celebrate their pet’s birthday.