Suppose x has a distribution with a mean of 30 and a standard deviation of 4. Random samples of size n = 54 are drawn. (a) Describe the ; distribution. 0 x has a Poisson distribution. has a binomial distribution. kl has an unknown distribution. kl 3:! has an approximately normal distribution. 3\" 0000 has a geometric distribution. has a normal distribution. Mi 0 Compute the mean and standard deviation of the distribution. (For each answer, entera number.) \"F: '52:: (b) Find the 2 value corresponding to E = 29. [Enter an exact number.} {c} Find ill; 4. 29}. (Entera number. Round your answer to four decimal places.) Dim21:: (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 29? Explain. O No, it would not be unusual because more than 5% of all such samples have means less than 29. D Yes, it would be unusual because more than 5% of all such samples have means less than 29. D Yes, it would be unusual because less than 5% of all such samples have means less than 29. O No, it would not be unusual because less than 5% of all such samples have means less than 29