Supposexhas a distribution with a mean of50and a standard deviation of27. Random samples of sizen=36are drawn.(a)

Describe thedistribution. has a normal distribution. has an approximately normal distribution. has an unknown distribution. has a Poisson distribution. has a geometric distribution. has a binomial 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=59. (Enter an exact number.) z= (c)

FindP(<59). (Enter a number. Round your answer to four decimal places.) P(<59) =P(x bar < 59) (d)

Would it be unusual for a random sample of size36from thexdistribution to have a sample mean less than59? Explain. No, it would not be unusual because more than 5% of all such samples have means less than 59.Yes, it would be unusual because less than 5% of all such samples have means less than 59. No, it would not be unusual because less than 5% of all such samples have means less than 59.Yes, it would be unusual because more than 5% of all such samples have means less than 59.