Stat 3611
Midterm 2, Spring 2014
ID
Name
Instructions:
You have 50 minutes to complete this exam.
Write answers in the space provided below each question. If you need more room, you can
use the back
Stat 3611 Homework 1, Spring 2015
Due in class on Friday, Jan. 30, 2015
1. Let f (x, y) be a function defined by
(
x2 + y , x = 0, 1, 2 and y = 3, 4
f (x, y) =
0,
otherwise
Find out
P
(a)
x f (x, 4);
Stat 3611 More Practice Problems
Internet ID:
Name:
1. Three students are selected at random from a chemistry class and classied as male or female.
(a) List the elements of the sample space S1 , using
If A1 , A2 , . . . , An are a partition of sample space
S, then P (A1 A2 An ) = P (A1 ) + P (A2 ) +
+ P (An ) = P (S) = 1.
P (A B C) = P (A) + P (B) + P (C) P (A
B) P (A C) P (B C) + P (A B C).
I
Stat 3611 In-class Quiz 7
Internet ID:
Name:
1. The amount of the time that a train travels between two stations is random variable with
mean = 25 minutes and a standard deviation = 3 minutes. Each da
Stat 3611 In-class Quiz 6
Internet ID:
Name:
1. If X is a continuous uniform random variable on the interval [1, 4]. What is the probability
that X is smaller than 2, P (X < 2)?
2. Given a standard no
Stat 3611 In-class Quiz 5
Internet ID:
Name:
1. A random variable X has the probability distribution function f (x) as
x
1
f (x) 0.2
2
0.1
3
0.5
4
0.2
(a) What is the expected value of X?
(b) What is
Stat 3611 In-class Quiz 3
Internet ID:
Name:
1. Mike decides to go out for dinner. He will go to one of the two restaurants nearby. The
rst restaurant has 4 appetizers, 5 entries, and 3 desserts. The
Stat 3611 In-class Quiz 2
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Name:
1. List the elements of each of the following sample spaces:
(a) the set S = cfw_x|2x 4 0 and x < 5;
(b) the set of integers between 1 and 50 divisible by
Stat 3611 Homework 2, Spring 2015
Due in class on Feb. 9
Show all the work. 40% of the points will be taken off if only
the final answer is shown without intermediate steps.
1. Exercise 2.6.
2. Exerci
Stat 3611 In-class Quiz 1
Internet ID:
Name:
1. Suppose a function f (x, y) is dened as f (x, y) = xy for x = 0, 1, 2; y = 4, 5 and f (x, y) = 0
otherwise. Compute
x2 f (x, y)
x
2. Compute the integra
Generalized Multiplication Rule
The multiplication rule can be generalized to any number of
operations.
Rule 2.2
Generalized Multiplication Rule
If an operation can be performed in n1 ways, and if fo
Stat 3611 (Spring 2014)
Chapter 2
Yang Li
University of Minnesota Duluth
Yang Li (UMD)
Stat 3611
1 / 13
Chapter 2
2.1: Sample Space
2.2: Events
2.3: Counting Sample Points
2.4: Probability of an E
Stat 3611
Name
Midterm 1, Spring 2014
ID
solution
Instructions: You have 50 minutes to complete this exam. Write answers in the space provided below
each question. If you need more room, you can use t
Stat 3611 Homework 7, Spring 2014
Due in class on Apr. 02, 2014
1. For n = 6 and p = 1/2, we have
(a) P (2 X 5) = P (X 5) P (X 1) = 0.9844 0.1094 = 0.875.
(b) P (X < 3) = P (X 2) = 0.3438.
2. From Tab
Stat 3611
Midterm 1, Spring 2014
ID
Name
Instructions:
You have 50 minutes to complete this exam.
Write answers in the space provided below each question. If you need more room, you can
use the back
Stat 3611 Homework 9, Spring 2014
Due in class on Apr. 25, 2014
1. (a) The mean x =
1
(2.5 + 3.6 + 3.4 + 4.3 + 2.9 + 2.5 + 3.4 + 4.1 + 2.8 + 3.7 + 3.4)
11
= 3.327.
(b) If we sort these numbers in incr
Stat 3611 Homework 5, Spring 2014
Due in class on Mar. 05, 2014
1. (a) We can select x oranges from 3, y apples from 2, and 4 x y bananas from 3 in
3 2
3
ways. A random selection of 4 pieces of fruit
Stat 3611 Homework 3, Spring 2014
Due in class on Feb. 19, 2014
1. (a) Sum of the probabilities exceeds 1.
(b) Sum of the probabilities is less than 1.
(c) A negative probability (-0.25).
(d) Probabil
Stat 3611 Homework 8, Spring 2014
Due in class on Apr. 14, 2014
1. P (X > 2.5|X 4) =
P (2.5<X4)
P (X4)
=
42.5
41
= 1.
2
2. (a) P (Z 1.02) = 0.1539.
(b) P (Z 1.83) = 1 P (Z < 1.83) = 1 0.9664 = 0.0336.