Unformatted text preview: the top 3% of the fish population. How much did his fish weigh? Need x = ? such that P ( X > x ) = 0.03. P ( Z > z ) = 0.03. Φ ( z ) = 0.97. z = 1.88. x = μ + σ ⋅ z = 7.7 + 2.5 ⋅ 1.88 = 12.4 lbs . c) (3) If one catches a fish from the bottom 9% of the population, the fish must be returned to the lake. What is the weight of the smallest fish that one can keep? Need x = ? such that P ( X < x ) = 0.09. Φ ( z ) = 0.09. z = – 1.34. x = μ + σ ⋅ z = 7.7 + 2.5 ⋅ ( – 1.34 ) = 4.35 lbs ....
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 Spring '08
 Kim
 Normal Distribution, Standard Deviation, 3%, lbs, 2.5 lbs, Mr. Statman

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