Subject: MAT 112: Statistics and Probability Topic: Normal distribution Problem 1 : Given percentileProblem 2: Problem solving

8786 V. EVALUATION 2. Given a normal distribution with the mean of 120 and standard deviation of 25. Find the score in 75th percentile upper 35% 75th percentile Upper 35% Test IV. Problem Solving (7 points) Direction: Solve the following completely and show your complete solution. Scoring: (i) Graph -1pt, (ii) Case#t - 1pt, (iii) Find area-1 pt. (iv) Find z -1pt (v)Solve x - 2pts (vi) Conclusion - 1pt 1. Mensa is an organization whose members possess IQs that are in the top 2% of the population. It is known that IQs are normally distributed with a mean of 100 and a standard deviation of 16. Find the minimum IQ needed to be a Mensa member. MAT 112