(a) Find the probability that a mayfly lives for at least two days. (b) Find the probability that a mayfly lives between 12 and 36 hours. (c) Find the insect's mean lifetime.
(a) Find the probability that a mayfly lives for at least two days. (b) Find the probability that a mayfly lives between 12 and 36 hours. (c) Find the insect's mean lifetime.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:The lifetime (in days) of a mayfly (aquatic insect) is modelled as a random variable
whose pdf is given by
2
{}
0,
elsewhere.
(a) Find the probability that a mayfly lives for at least two days.
f(x)
=
(x + 1)³¹
(c) Find the insect's mean lifetime.
x > 0
(b) Find the probability that a mayfly lives between 12 and 36 hours.
(d) Suppose that a researcher captures 10 mayflies and observes their lifetimes. What
is the probability that at least one of the insects lives for more than 2 days?
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