1. Back to plutonium mines for you. Evil Dr. Z derives much of her riches from plutonium mines. She looks at the casualty levels in a sample within Sector D that the number of casualties at each mine was as so : a. overline x =\ (2 pts ) St.dev= sqrt Sigma C - For extra credit : What is the st . deviation ? 8 pts if not attempting ignore the right two columns below ) Table 1. Casualties in Sector D, by mine Number of x- tilde x; (x- overline x )^ 2 Mine casualties Beauty 7 Dance 9 Freedom 13 Happy Whappy 30 Laurelei 30 Polka dot 14 Smiley 25 Song 40 Threeflower 42 Whappy whappy 50 using the z-score found what is the probability that a randomly selected mine will have more casualties that the laurelei mine?For the mean and standard deviation that you calculated, what casualties would correspond to z= 1.6?Using the z-scores: for the mean and standard deviation that you calculated, what level of casualties would be such that only 30% of randomly selected mines exceeded it