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The weight of people in a small town in Missouri is known to be normally distributed...

The weight of people in a small town in Missouri is known to be normally distributed with a mean of 187 pounds and a standard deviation of 29 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,400 pounds or 17 persons.” What is the probability that a random sample of 17 persons will exceed the weight limit of 3,400 pounds? (You may find it useful to reference the z table. Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

math   Statistics-And-Probability   
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Answer #1

P(X>200) Normal Distribution, μ-187, σ-29, n-17 we convert this to standard normal using z -Opx 200 (187) 29/V17 1.8482891.85 P(Z >1.85)Area to the right of 1.85 0.0322 1.85 P(X > 200) = P(Z > 1.85) = 1-P(Z < 1.85)-1-09678 0.0322 P(Z 1.85): in a z-table having area to the left of z, locate 1.8 in the left most column Move across the row to the right under column 0.05 and get value 0.9678 P(X > 200)-0.0322-3.22%

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