fabric. 2. The probability distribution of the discrete random variable Y is y 3-у ,y = 0,1,2,3. %D Compute for the mean, variance, and standard deviation of Y.
fabric. 2. The probability distribution of the discrete random variable Y is y 3-у ,y = 0,1,2,3. %D Compute for the mean, variance, and standard deviation of Y.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
solve 2 only
Transcribed Image Text:Quarter 3, Week 2 - Mean, Variance, and Standard Deviation of Discrete Random
Variables
Performance Task #2
Solve the following problems.
1. The probability distribution of X, the number of imperfections per 10 meters of a synthetic
fabric in continuous rolls of uniform width is
1
2
3
4
f (x)
Find the mean, variance, and standard deviation of imperfections per 10 meters of this
fabric.
0.41
0.37
0.16
0.05
0.01
2. The probability distribution of the discrete random variable Y is
3-у
FW) = (;)()
,у %3D 0,1,2,3.
Compute for the mean, variance, and standard deviation of Y.
3. The local animal shelter adopts out cats and dogs each week with the following
probabilities.
3
4
6.
7
8.
P(x)
0.15
0.3
0.25
0.18
0.1
0.02
a. Find the mean, variance, and standard deviation for the number of animals adopted
each week.
b. What is the probability that they find homes for more than 5 animals in a given week?
4. By investing in a particular stock, a person can make a profit in one year of P40000 with
probability 0.3 or take a loss of P10000 with probability 0.7.
a. What is this person's expected gain/loss?
b. Find the variance and standard deviation of this person's expected gain/loss.
5. From experience, a company has found that in cartons of transistors, 92% contain no
defective transistors, 3% contain one defective transistor, 3% contain two defective
transistors, and 2% contain three defective transistors.
a. Find the mean, variance, and standard deviation for the defective transistors.
b. About how many extra transistors per day would the company need to replace the
defective ones if it used 10 cartons per day?
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