Question: I've solved most of the problem but Need help with part B of this question: 2.Andre is fearless circus performer who gets shot from a
I've solved most of the problem but Need help with part B of this question:
2.Andre is fearless circus performer who gets shot from a special cannon during the grand finale of the show and is supposed to land on a safety net at the other side of the arena.The distance he travels varies, but is normally distributed with a mean of 150 feet and a standard deviation of 10 feet.The landing net is 30 feet long.
A.To maximize the probability of landing on the net, how far away from the cannon should he position the nearest edge of the net?(2 points)
To maximize the probability that Andre will land on the net, the center of the net should be 150 feet from the cannon (mean distance he will travel).Since the net is 30 feet long, the center of the net is 15 feet from the edge of the net closest to the cannon, so that edge should be 135 feet from the cannon.So, to maximize the probability of landing on the net, the cannon should be placed 135 feet away from the nearest edge of the mat.
B.Identify two different strategies (with a basis in statistical knowledge) that can be implemented so that the probability of Andre's survival increases (while performing the act).(4 points)
Strategy #1 We know that placing the cannon 135 feet away from the nearest edge of the net will maximize the probability of landing on the net. To improve upon the 86.64 percent chance that Andre will land on the net, we can change our methodology, running a cumulative probability test with one X value rather than the two x values (135 feet and 165 feet). Setting the x value at 180 significantly increases Andre's probability of landing on the net.
Strategy #2 ?
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