[5] A marksman is firing a pistol at a 5 cm diameter, circular bullseye some distance...
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[5] A marksman is firing a pistol at a 5 cm diameter, circular bullseye some distance away. The center of the target is considered (0, 0). This marksman pulls a little to the right (positive x) and a little high (positive y) for bullet location according to a bivariate normal distribution with parameters μx = 0.5, y = 1,0 = 4,0 = 6, and p = 0.7. Suppose the xcoordinate for a given shot is 1. What is the probability that the 5 cm diameter object is hit? That is, find P(C₁ <Y <C₁x = 1); where the bounds are the circle edge, lower/upper, vertically, when x = 1. [5] A marksman is firing a pistol at a 5 cm diameter, circular bullseye some distance away. The center of the target is considered (0, 0). This marksman pulls a little to the right (positive x) and a little high (positive y) for bullet location according to a bivariate normal distribution with parameters μx = 0.5, y = 1,0 = 4,0 = 6, and p = 0.7. Suppose the xcoordinate for a given shot is 1. What is the probability that the 5 cm diameter object is hit? That is, find P(C₁ <Y <C₁x = 1); where the bounds are the circle edge, lower/upper, vertically, when x = 1.
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