The lengths, Xcm, of the leaves of a particular species of tree are normally distributed with mean
Question:
The lengths, Xcm, of the leaves of a particular species of tree are normally distributed with mean μ and variance σ2.
a. Find P(μ – σ ≤ X < μ + σ).
b. Find the probability that a randomly selected leaf from this species has a length that is more than 2 standard deviations from the mean.
c. Find the value of μ and of σ, given that P(X < 7.5) = 0.75 and P(X < 8.5) = 0.90.
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a To find P X we need to use the cumula...View the full answer
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Related Book For 
Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook
ISBN: 9781108407304
1st Edition
Authors: Dean Chalmers, Julian Gilbey
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