5. Suppose it is known that the life X of a particular compressor, in hours, has the density function f (2) = {300 0, -z/900 x > 0, elsewhere. a. Find the mean life of the compressor. b. Find E(X²). c. Find the variance and standard deviation of the random variable X.
5. Suppose it is known that the life X of a particular compressor, in hours, has the density function f (2) = {300 0, -z/900 x > 0, elsewhere. a. Find the mean life of the compressor. b. Find E(X²). c. Find the variance and standard deviation of the random variable X.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Please answer number 5.
Transcribed Image Text:OUM
College of Arts and Sciences Education
General Education - Mathematics
2nd Floor, DPT Building, Matina Campus, Davao City
Phone No.: (082)j300-5456/305-0647 Local 134
The University of Mindanao
Let's Check
Answer the following completely.
1. Suppose that the probabilities are 0.4, 0.3, 0.2, and 0.1, respectively, that 0, 1, 2, or 3
power failures will strike a certain subdivision in any given year. Find the mean and
variance of the random variable X representing the number of power failures striking
this subdivision.
2. Let X be a random variable with the following probability distribution:
-3
6
9.
1/2 1/3
Find o?
gx) for the function g(X) = 3X²+ 4.
3. The random variable X, representing the number of errors per 100 lines of software
code, has the following probability distribution:
3 4
5
6.
0.01
0.25
0.4
0.3
0.04
Find the variance of X.
4. For a laboratory assignment, if the equipment is working, the density function of the
observed outcome X is
S2(1 – x), 0 < x < 1,
10,
f(x)
otherwise.
Find the variance and standard deviation of X.
OUM
College of Arts and Sciences Education
General Education - Mathematics
2nd Floor, DPT Building, Matina Campus, Davao City
Phone No.: (082)300-5456/305-0647 Local 134
The University of Mindanao
5. Suppose it is known that the life X of a particular compressor, in hours, has the density
function
-z/900
x > 0,
elsewhere.
e
f (x) = { 90
a. Find the mean life of the compressor.
b. Find E(X²).
c. Find the variance and standard deviation of the random variable X.
- End -
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