You are studying a newly discovered species of rodent. Observations suggest that a rodent selected at random

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You are studying a newly discovered species of rodent. Observations suggest that a rodent selected at random with a tail of length described by a random variable X cm with probability density function fx (x) = a sin(x) for x = [0,5]

where α is some constant.

a. Determine the value of α such that f_X(x) is a valid probability density function.

b. Calculate the probability that a randomly selected adult rodent will have a tail of length between 4 and 4.5 cm.

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Introduction To Actuarial And Financial Mathematical Methods

ISBN: 9780128001561

1st Edition

Authors: Stephen Garrett

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Question Posted: Dec 11, 2023 07:00 AM

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You are studying a newly discovered species of rodent. Observations suggest that a rodent selected at random

Question:

fx (x) = a sin (x) for x = [0,5]

Step by Step Answer:

a We require fx x to be nonnegative over x 05 whic...View the full answer

Introduction To Actuarial And Financial Mathematical Methods

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