Question

mpirical Rule data set which is mound-shaped or approximately mound-sha Forroximately normal), the following statements will hold: 68% of the observations will lie within μ ~95% of the observations will lie within μ -99.7% of the observations will lie within (i.e., normal or app σ 2σ . 3 . Consider a r.v., Z, with a standard normal distribution. We can co Empirical Rule using the Standard Normal Table. nfirm each of the statements in the Note,' Since Z ~ N (0,1), we have t1-0 and ơ 1 σ Statement 1: a) What is the numerical value for the lower bound (LB) of the interval? b) What is the numerical value for the upper bound (UB) of the interval? c) We are interested in P(LB <Z<UB). Complete the sketch for this probability. 1) ~, 68% of the observations will lie within μ d) Find P(LB <Z<UB). Be sure to write the probability in terms of cumulative probabilitie

Answer 1