Statistical problem: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.Q: What are 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).

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Asked Nov 25, 2019
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Statistical problem:

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.

Q: What are 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).

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Step 1

Introduction:

Let X denote the distance (feet) travelled by Andre during a randomly selected performance. Then, X has a normal distribution with mean, μ = 150 and standard deviation, σ = 10.

The normal distribution is bell-shaped and symmetric, with the highest concentration of probability being about the mean, and the concentration gradually becoming less dense towards the tails.

Empirical rule regarding the normal probability distribution:

  • The ...

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