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IME 2610 Homework #4 *This assignment is due in class on 10/19. Please show work so that partial credited can be awarded.1. Consider a perfectly normally distributed population and answer the following: A. What type of Kurtosis is exhibited? B. What is the Skewness value? C. If the median is 32 what is the mode? D. What percentile is at the mean? 2. Consider the following PDF: A. What is the probability that X falls between 5 and 7? B. What is the expected value of X?C. What is the variance of X? 3. Consider the standard normal distribution and answer the following. A. Solve for z: P(Z>z) = 27% B. Solve for z: P(-1.5<Z<z) = 62%