Test 3
73 points Math 5A Friday, October 25, 2013 Mathewson
Name_
Show all of your work and Use the method specified to receive credit. Read and answer the questions asked be
1) Answer the short-answer, T/F questions.
6pts
A. TRUE or FALSE: There is a loc

PSTAT W 120A:
Solutions for Assignment 2.b
August 18, 2015
Lesson 7 Poisson Approximation
1. A survey of 3300 people asked them whether they liked apple pie. Suppose that the people were all
chosen independently with a 99.98% chance of liking apple pie.
(

PSTAT W 120A:
Solutions for Assignment 4B
September 2, 2015
Lesson 15 Cumulative Distribution Functions
1. The CDF of our random variable X is
F (t) =
t2
15 25t + 15t2 3t3
4
(a) The probability of cfw_ 21 X 1 is
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PSTAT W 120A:
Solutions for Assignment 3B
August 24, 2015
Lesson 11 Variance
1. We have an experiment that produces a measurement X with probability density function
x
P (x)
-10
0.1
-5
0.2
0
0.3
5
0.2
10
0.2
(a) The expected value of X is
E(X) = 10(0.1) 5

PSTAT W 120A:
Solution for Assignment 4A
August 28, 2015
1. Suppose that X is a random variable with density
fX (x) = 12x3 (1 x2 )
where the sample space space is 0 X 1.
(a) We need to integrate to get the probability,
Z 1
Pcfw_X > 0.6 =
f (x) dx
0.6
1
Z

PSTAT W 120A:
Solutions for Assignment 5.b
September 8, 2015
Lesson 19 Independent Normals
1. We have 55 independent normal observations all with mean 100. The first 50 observations have variance
76.4, and the last five have variance 127.
(a) The probabil

PSTAT W 120A:
Solutions 1.b
August 10, 2015
1. There are three motors available to repair Ralphs vacuum cleaner. Motor #1 has a 65% chance of
breaking by the end of the week. Motor #2 has a 25% chance of breaking by the end of the week.
Motor #3 has a 5%

PSTAT W 120A:
Solutions for Assignment 2A
August 13, 2015
1. A complicated mechanical system contains 8 components. There is a 18% chance that each component
will fail during processing, and components fail independently of each other. The number of faile

PSTAT W 120A:
Solutions for Assignment 3A
August 28, 2015
Lesson 9 Joint Distributions
1. Suppose that we have a pair of random variables X and Y with joint distribution
2
4
6
Y
2
0.04
0.12
0.24
X
4
0.02
0.06
0.12
6
0.04
0.12
0.24
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PSTAT W 120A:
Assignment 5A
September 10, 2015
Lesson 17 cfw_ Geometric Uniform Random Variables
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m
1. A house sits in the center of a 300 m by 300 m square lot. If an anthill is built randomly