Supposexhas a distribution with a mean of70and a standard deviation of51. Random samples of sizen=36are drawn.(a) Describe thedistribution. has a geometric distribution. has a binomial distribution. has an unknown distribution. has an approximately normal distribution. has a Poisson distribution. has a normal 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=53. (Enter an exact number.) z= (c) FindP(<53). (Enter a number. Round your answer to four decimal places.) P(<53) =P(x bar < 53) (d) Would it be unusual for a random sample of size36from thexdistribution to have a sample mean less than53? Explain. No, it would not be unusual because less than 5% of all such samples have means less than 53.Yes, it would be unusual because less than 5% of all such samples have means less than 53. No, it would not be unusual because more than 5% of all such samples have means less than 53.Yes, it would be unusual because more than 5% of all such samples have means less than 53.