Stat 100 Intro Probability
Homework 1
J. Sanchez
UCLA Department of Statistics
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Stat 100 Intro Probability
Homework 1
J. Sanchez
UCLA Department of Statistics
PROVIDE THE INFORMATION REQUESTED IN THIS BOX:
LAST NAME: FIRST NAME: ID:
TODAYs DATE:
TAs NAME: , TIME OF YOUR TA SESSION:
Instructions
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Notes
Stat 100A. Introduction to Probability
Introduction to Sample Spaces and probability when the
outcomes are equally likely.
Juana Sanchez
[email protected]
UCLA Department of Statistics
ccle.ucla.edu
J. Sanchez
Stat 100A. Introduction to Probabi
Notes
Introduction, Sample Space, Events
Juana Sanchez
[email protected]
UCLA Department of Statistics
ccle.ucla.edu
J. Sanchez
Introduction, Sample Space, Events
Announcements
Notes
The rst day of class we went over some examples of applications of
Chapter 1
Introduction
1.1
Basic System Elements
Queues (or waiting lines) help facilities or businesses provide service in an
orderly fashion. Forming a queue being a social phenomenon, it is benecial
to the society if it can be managed so that both the
Notes
Partitions of the Sample Space, Axioms of
Probability, Properties
Juana Sanchez
[email protected]
UCLA Department of Statistics
J. Sanchez
Partitions of the Sample Space, Axioms of Probability, Properties
Outline
Notes
I. Extension of Union and
Chapter 1 : Units, Physical Quantities, and Vectors
1.3.
IDENTIFY: We know the speed of light in m/s. t = d/v. Convert 1.00 ft to m and t from s to ns.
SET UP: The speed of light is v = 3.00 108 m/s. 1 ft = 0.3048 m. 1 s = 109 ns.
EXECUTE: t =
0.3048 m
8
Equilibrium and Elasticity
11.13. IDENTIFY: Apply the first and second conditions of equilibrium to the strut.
(a) SET UP: The freebody diagram for the strut is given in Figure 11.13a. Take the origin of coordinates
at the hinge (point A) and
upward. Let
10
HW
chapter
11
Question
Discussion
solutions
&B
.
9fgw
11.7
Q
:#
:*
:L
III.
the
through
^
floor
will
not
support
otherwise
.
be
zero
point
on
torque
.
T.tt#$fy
"
Q
"
the
"
"
push
or
different
Q 11.19
"
"
push
result
will
a
lift
force
same
In
Torque
.

Stat 100A/Sanchez
Review of applications of the CLT and of exact distributions of sums
1.Student scores on exams given by a certain instructor have mean 74 and standard
deviation 14. This instructor is about to give two exams, on to a class of size 25 and
Stat 100A Intro Probability
J. Sanchez
UCLA Department of Statistics
Problem 1. (a) Prove that if Y = kX, X a random variable and k a constant, then E(Y) = kE(X) and Var(Y) =
k2 Var(X). Show work.
(b) If X is a Poisson random variable with expected value
Stat 100 Intro Probability
Worksheet
J. Sanchez
UCLA Department of Statistics
LAST NAME: FIRST NAME: DATE:
TA SESSION:
Problem 1. The Intel Fiasco.
In October 1994, a flaw was discovered in the Pentium Chip installed in many new personal computers. The
Stat 100A. Intro Probability /Sanchez
Practicing with the Normal curve
UCLA Dept of Statistics /
LAST NAME_ FIRST NAME:_ ID: _DATE:_
1. Find
(a) The 75th percentile of the Standard Normal distribution is z =
(b) The probability that z is less than 0.45 i
Stat 100A/Sanchez
Practice with continuous random variables.
Review integrals for one variable from a Calculus book. Polynomials and exponentials
and constant functions, and integration by parts. Give some examples of each. This will
help you review integ
Stat 100 Intro Probability
Homework 9
J. Sanchez
UCLA Department of Statistics
PROVIDE THE INFORMATION REQUESTED IN THIS BOX:
LAST NAME: FIRST NAME: ID:
TODAYs DATE:
TAs NAME: , TIME OF YOUR TA SESSION:
Instructions
(1) YOU MUST WRITE YOUR ANSWERS IN
Notes
The Bivariate Normal density. Summary
Juana Sanchez
[email protected]
UCLA Department of Statistics
ccle.ucla.edu
J. Sanchez
Joint densities: Bivariate Normal
Outline
Notes
I. Joint bivariate normal.
II. Marginal distributions derived from a jo
Ax l
[I x. y) M
= Li: 3
FIGURE 14.18
The volume of the solid region is .
Seetlon 14.2 I Double Integrals and Volume 937
The following theorem was proved by the Italian mathematician Guido Fubini
(18791943). The theorem states that if R is a vertically or
Stat 100 Intro Probability
Homework 10
J. Sanchez
UCLA Department of Statistics
PROVIDE THE INFORMATION REQUESTED IN THIS BOX:
LAST NAME: FIRST NAME: ID:
TODAYs DATE:
Name of your TA : ; Time of TA session:
Instructions
(1) YOU MUST WRITE YOUR ANSWERS
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