5 A new dairy product is tested extensively to determine its shelf life in days. The measure- ments can be modelled by the following probability density function. (t/72 f(t) = 0
5 A new dairy product is tested extensively to determine its shelf life in days. The measure- ments can be modelled by the following probability density function. (t/72 f(t) = 0
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:5 A new dairy product is tested extensively to determine its shelf life in days. The measure-
ments can be modelled by the following probability density function.
'72
0 <t< 12
f(t) =
otherwise.
Let T denote the amount of time (in days) it takes for an instance of this new dairy product to
expire.
(a) Sketch a graph of f(t).
(b) Find the cumulative distribution function F(t) for T.
(c) What is the probability the dairy product will not expire in the first 7 days?
(d) What is the probability the dairy product expires after five days but before the end of the
tenth day?
(e) If the dairy product doesn't expire in the first five days, what is the probability it will last
at least ten days before expiring?
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