April 23, 2012 Stat 400 EXAM 2
(2.1 4.2)
[Pilachowski]
Follow directions carefully:
Use exactly ONE answer sheet per question (use the back of the sheet if needed).
Put your name and the question nu
Stat 400, chapter 2, Probability, Conditional Probability and Bayes Theorem Solutions
supplemental handout prepared by Tim Pilachowski
Example 2: The Gallup organization conducted 10 separate surveys
March 9, 2012
Stat 400 EXAM 1
(2.1 4.2)
[Pilachowski]
SOLUTIONS
Note: While wed like to guarantee that this answer key is 100% correct, there may be typos we missed in the
proofreading. If you think a
March 14, 2013 Stat 400 EXAM 1
(2.1 4.2)
[Pilachowski]
Follow directions carefully:
Counting front and back as one page, number the pages in your answer booklet 1 through 8.
Answer question 1 on answ
Stat 400, chapter 2, Probability, Permutations and Combinations - SOLUTIONS
supplemental handout prepared by Tim Pilachowski
Examples A. through F. have answers on the supplement, with explanations.
E
Spring 2015
Stat 400 EXAM 2
(4.3 5.4)
[Pilachowski]
Follow directions carefully:
Counting front and back as one page, number the pages in your answer booklet 1 through 8. Answer question 1 on answer
Stat 400, chapter 2, Probability, Permutations and Combinations
supplemental handout prepared by Tim Pilachowski
An arrangement in which the order of objects or events makes a difference, e.g. RYB RBY
Stat 400, chapter 2, Probability, Conditional Probability and Bayes Theorem
supplemental handout prepared by Tim Pilachowski
Example 1. Silver Springs, Florida, has a snack bar and a gift shop. The ma
Homework 1
1. Section 2.2: 20
2. Section 2.2: 26
3. A club is electing its four officers.
a. Is this an example of a combination, permutation, or both? Explain your answer.
b. If the club has fifty me
1) Your statistics instructor claims that 60 percent of the students who take her Elementary
Statistics class go through life feeling more enriched. For some reason that she can't quite
figure out, mo
STAT 400-001 Applied Probability &
Statistics I
Lecture 09 Section (2.5): Independence
Independence
Some Examples
Lecture 9 Section 2.5:
Independence
1
Event Independence
Two events are independent i
Stat 5571 Homework 10, Fall 2016
Solution
Chapter 7
1. Consider a random sample of size n from a distribution with CDF F (x) = 1
1 x < , and zero otherwise. Define Yn = min1in Xi .
1
x
if
(a) Derive
Stat 5571 Homework 2, Fall 2016
Solution
1. Exercise 31.
(a) The total number of balls is 5 + 3 + 7 = 15. P (both are red) = P (A1 A2 )
where
Ai isthe event that the ith ball is red. P (A1 A2 ) = P (A
Stat 5571 Homework 5, Fall 2016
Solution
1. Exercise 3.
(a) This is a binomial distribution with n
and p = 0.5. The probability of
= 10
8
hitting eight shots is b(8; 10, 0.5) = 10
(0.5)
(1
0.5)108 =
STAT 400 MINITAB Project
Purpose: To demonstrate the Central Limit Theorem (Section 5.4) and Confidence Intervals
Turn in ELMs: Word document with Copies of Sessions window and 3 histograms of the
dis
These are just a few of the types of problems you could see on Test 2. And remember, the tests are
cumulative, so you can see some problems like you saw on Test 1.
According to American Airlines, its
Binomial with n = 8 and p = 0.62
Binomial with n = 10 and p = 0.62
x
0
1
2
3
4
5
6
7
8
x
0
1
2
3
4
5
6
7
8
9
10
P( X <= x )
0.00043
0.00611
0.03852
0.14427
0.35994
0.64145
0.87111
0.97817
1.00000
P( X
Please use the standard normal table to answer the following questions that use the Normal
Distribution!
Insect traps are checked periodically, the mean number of insects trapped is 0.75. The
distribu
Stat 5571 Homework 9, Fall 2016
Solution
All exercises below are from chapter 6 on the textbook.
1. Exercise 13.
1
[f ( y) +
2 y X
1/2
y
y
contribute and fY (y) = 21 y ( 24
+ 24
) = y24 .
1/2
term wil
Terminals on an on-line computer system are attached to a communication line to the central computer
system. The probability that any terminal polled is ready to transmit is 0.95. Each terminal is
ind
Stat 5571 Homework 6, Fall 2016
Solution
All exercises below are from chapter 5 on the textbook. Show all the work. I will take
points off if only the final answers are shown.
1. Exercise 2.
Let X1 ,
Stat 5571 Homework 4, Fall 2016
Solution
Every question is worth 0.5 point.
1. Exercise 23.
The pmf of X is
x
f (x)
1
1/8
2
2/8
5
5/8
P
x xf (x) = (1)(1/8) + (2)(2/8) + (5)(5/8) = 30/8.
P
2
2
2
2
(b)
Stat 5571 Homework 6 Part 2, Fall 2016
Solution
1. Exercise 19.
R1Ry
R1 2
(a) 0 0 k(x + y)dxdy = k 0 3y2 dy = k/2 which implies k = 2.
R1
Ry
(b) f1 (x) = x 2(x + y)dy = 3x2 + 2x + 1 for 0 x 1. f2 (y)
Stat 5571 Homework 6, Fall 2016
Solution
All exercises below are from chapter 4 on the textbook. Show all the work. I will take
points off if only the final answers are shown.
1. Exercise 3.
(a)
(b)
(
REMEMBER IN STATISTICS SOMETHING IS UNUSUAL IF THE PROBABILITY OF IT OCCURING IS
0.05 OR LESS.
A researcher believes the mean number of seeds for a certain variety of Marigold has decreased
from 125.2
1. Given two events C and D in a sample space S, if we know that P(C) =
0.3 and P(D | C) = 0.2,
a. PC D= 0.06
b. Events C and D are not independent
2. Given two events E and F in a sample space S, if
STAT 400 Applied Probability and Statistics I
Fall 2016
Instructor: Lecturer Susan C. Mazzullo
Email: [email protected]
Office: MTH 3316
Office Hour: MW: 11:15-11:45AM and 1:15-2:15PM. These office hou
STAT400. Sample questions for midterm 2.
1. In this problem you may neglect the probability of twins.
(a) A family has 5 children. Find the probability that they have 2 boys and 3 girls.
(b) A family
STAT 400
SYLLABUS
FALL 2017
Sections: 03-Room: 0126 ARM
TuTh: 3:30-4:45 pm
Instructor: Dr. Casey T. Cremins
Office: 4105 MTH
Hours: M-F, 2-3 pm; or by appointment
Phone: 405 5110
e-mail: [email protected]