. Question 8 v In this problem, we explore the relationship between the Empirical Rule and the normalcdf command. a. Recall that according to the Empirical Rule, percent of the values in a normal distribution are within one standard deviation of the mean. b. Also recall that a Z-value expresses how many standard deviations a certain number is from the mean. Thus without a calculator, the above statement from the Empirical Rule can be expressed in terms of probability like this: c. Now let's use the normalcdf command to compute the probability from part b to four decimals: normalcdff-1,1,0,1] or NormalDist[0,1}.cdf[-1,1) = Note that the answers to parts b and c are slightly different because the Empirical Rule is just an approximation. d. According to the Empirical Rule, what is P( 2 To represent P{Z :9 1.6) as an area, which direction shouLd you shade? '3' Left '13:} right P: