Answered: 5 A new dairy product is tested…

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. St/72 f(t) = 0

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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
0<t< 12
S(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.

Expert Solution

Step 1

Given that

$f (t) = \{\begin{cases} \frac{t}{72} 0 \leq t \leq 12 \\ 0 o t h e r w i s e \end{cases}$

$(a)$ .

Sketch the graph of $f (t)$ .

The graph is shown in the below figure.

Step by step

Solved in 2 steps with 1 images

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