The lifetime, X (in days), of a sea microorganism has density function f (x) = cx2e4x, x
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The lifetime, X (in days), of a sea microorganism has density function f (x) = cx2e−4x, x ≥ 0, for a suitable constant c.
(i) Obtain the value of c.
(ii) Find the distribution function of X and hence the probability that a newly-born microorganism survives for at least three days.
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Related Book For 
Introduction To Probability Volume 2
ISBN: 9781118123331
1st Edition
Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis
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