Maximize p = 6x + 9y + 3.3z + 12w subject to
(a) 1.2x + y + z + w ≤ 121.5
(b) 2.2x + y − z − w ≥ 30
(c) 1.2x + y + z + 1.2w ≥ 31.5
(d) x ≥ 0, y ≥ 0, z ≥ 0, w ≥ 0.
Round all answers to two decimal places.

Itook a better photo of the question so y’all can see it i hope it’s a fine photo

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

3.17 scores on stats final. below are final exam scores of 20 introductory statistics students. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 57, 66, 69, 71, 72, 73, 74, 77, 78, 78, 79, 79, 81, 81, 82, 83, 83, 88, 89, 94 (a) the mean score is 77.7 points. with a standard deviation of 8.44 points. use this information to determine if the scores approximately follow the 68-95-99.7% rule. (b) do these data appear to follow a normal distribution? explain your reasoning using the graphs provided below.