A large tank of fish from a hatchery is being delivered to a lake. The hatchery...

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A large tank of fish from a hatchery is being delivered to a lake. The hatchery dams that the mean length of fish in the tank

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Answer 1

Answer #1

Here, μ = 15, σ = 0.4423, x1 = 14.5 and x2 = 15.5. We need to compute P(14.5<= X <= 15.5). The corresponding z-value is calculated using Central Limit Theorem

z = (x - μ)/σ
z1 = (14.5 - 15)/0.4423 = -1.13
z2 = (15.5 - 15)/0.4423 = 1.13

Therefore, we get
P(14.5 <= X <= 15.5) = P((15.5 - 15)/0.4423) <= z <= (15.5 - 15)/0.4423)
= P(-1.13 <= z <= 1.13) = P(z <= 1.13) - P(z <= -1.13)
= 0.8708 - 0.1292
= 0.7416

Ans: 0.7416

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Answer 2

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