Distribution

0 45.26 points BBBasicStatBAcc 7.5.DIJGMI. Suppose x has a distribution with a mean of 50 and a standard deviation of 15. Random samples of size n = 35 are drawn. (a) Describe the E distribution. 0 Jr has an approximately normal distribution. 0 E has a geometric distribution. 0 E has a normal distribution. 0 E has a Poisson distribution. 0 E has an unknown distribution. 0 E has a binomial distribution. Compute the mean and standard deviation of the distribution. {For each answer, enter a number.) #2:: z=l:l (b) Find the 2 value corresponding to E = 55. {Enter an exact number.) (c) Find Fi; q: 55). {Enter a number. Round your answer to four decimal places.) mime: (d) Would it be unusual for a random sample of size 35 from the x distribution to have a sample mean less than 5.5? Explain. D Yes, it would be unusual because less than 5% of all such samples have means less than 55. O No, it would not be unusual because less than 5% of all such samples have means less than 55. 0 Yes, it would be unusual because more than 5% of all such samples have means less than 55. O No, it would not be unusual because more than 5% of all such samples have means less than 55