Supposexhas a distribution with a mean of90and a standard deviation of28. Random samples of sizen=64are drawn.(a) Describe thedistribution. has an approximately normal distribution. has a normal distribution. has a geometric distribution. has a Poisson distribution. has a binomial distribution. has an unknown distribution.Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) =mu sub x bar = =sigma sub x bar = (b) Find thezvalue corresponding to=97. (Enter an exact number.) z= (c) FindP(<97). (Enter a number. Round your answer to four decimal places.) P(<97) =P(x bar < 97) (d) Would it be unusual for a random sample of size64from thexdistribution to have a sample mean less than97? Explain. Yes, it would be unusual because less than 5% of all such samples have means less than 97.Yes, it would be unusual because more than 5% of all such samples have means less than 97. No, it would not be unusual because less than 5% of all such samples have means less than 97.No, it would not be unusual because more than 5% of all such samples have means less than 97.