Please show the formulas and answers to the followingproblem. For a normal distribution, idenitfy the z-score location thatwould separate the distribution into two sections so thatthere is: a). 70% in the body on the right side b). 80% in the body on the right side c). 75% in the body on the left side d). 90% in the body on the left side. Please show the formulas and answers to the followingproblem. For a normal distribution, idenitfy the z-score location thatwould separate the distribution into two sections so thatthere is: a). 70% in the body on the right side b). 80% in the body on the right side c). 75% in the body on the left side d). 90% in the body on the left side.
Explanation / Answer
PART A>>> We want the area inthe LEFT tail (below the Z-score) to be 0.3000 and thus a normaldist table gives Z = - 0.524 PART B>> area to the LEFT of Zis 0.2000, so Z = - 0.842 PART C>>> area to left of Z is0.7500 , so Z = 0.674 PART D>>> area to left of Z is.9000, so Z = 1.282