Suppose a simple random sample of size = 44 is obtained from a population with . = 62 and a = 15. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilition regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution X (b) Assuming the normal model can be used determine P(x <65.1). (c) Assuming the normal model can be used determine P(x 2 63.2). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (enge 2). (a) What must be true regarding the distribution of the population? O A. There are no requirements on the shape of the distribution of the population O B. The population must be normally distributed and the sample size must be large. O C. The population must be normally distributed O D. Since the sample size is large enough the population distribution does not need to be normal.