4. According to the American Kennel Club, the weight for an Australian Shepherd dog is normally distributed, with a mean p = 45 pounds and standard deviation tr: 5 pounds. a} What is the probability that a single Australian Shepherd will weigh 42 pounds or less? Please show each step in your computations b} Suppose that a random sample of four Australian Shepherds are working a herd of cattle. What is the probability that the mean weight for the four dogs will be 42 pounds or less? Please show each step in your computations. Remember to compute the standard error rst. c) Explain the differences in the results for parts (a) and (b). d} Suppose you did n_ot know that the weight of Australian Shepherds is normally distributed. Would you bejustified in saying the sampling distribution from part (b) is normally distributed when you have a sample size of 4? Why or why not