The lengths, Xcm, of the leaves of a particular species of tree are normally distributed with mean and variance 2 a Find P( X ) 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 and of , give...

a To find P X we need to use the cumula ...

The lengths, Xcm, of the leaves of a particular species of tree are normally distributed with mean

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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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Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

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Question Posted: Sep 14, 2021 02:11 AM

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The lengths, Xcm, of the leaves of a particular species of tree are normally distributed with mean

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a To find P X we need to use the cumula...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

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