Statistics

Suppose that the distance of fly balls hit to the outfield (in baseball)is normally distributed with a mean of 250 feet and a standard deviation of50 feet.

a. If X = distance in feet for a fly ball, then X ~ _____(_____,_____)

b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 220 feet? Sketch the graph. Scale the horizontal axis X. Shade the region corresponding to the probability. Find the probability.

c. Find the 80th percentile of the distribution of fly balls. Sketch the graph, and write the probability statement.

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  1. a. Don't understand what you are seeking.

    b. Z = (score-mean)/SD

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score. Cannot graph on these posts.

    c. Use the same table and look for Z score at .80. Use equation above. Again, cannot graph.

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  2. answer

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  3. Find the 80th percentile of the distribution of fly balls

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