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Exercise on Discrete Probability Distributions (Use R to calculate the following probabilities)
Name(s): _, _
1. For a multiple choice test, each question has four possible answers of which exactly one is
correct. For a test consisting of five questions a
A Brief Introduction to R
January 23, 2009
This is a document designed to help a person to begin to get to know the
R statistical computing environment.
References. Please refer to
It paraphrases and summarizes information gleaned from materials listed in
Exam 1, STAT 3743, Practice.
Name _
1. The pulse rates (per minute) for 6 patients visited a doctor this morning were recorded as the
following: 67 77 88 75 72 76. Find the sample mean and the sample standard
deviation of this sample of pulse rates.
Sampl
Description Statistics - Tables and Charts.
Name: _
Organize and Display Data
Data below were collected from a class of 9th grade students.
Gender
Female
Female
Female
Female
Female
Female
Male
Male
Male
Male
Male
Female
Female
Male
Male
Female
Female
Mal
Boxplot Exercise
Name _
1. The test scores from a group of 10th grade students were: 76, 89, 88, 82, 95. Find the values of
following statistics.
Sample mean =
Sample standard deviation =
Coefficient of variation =
The data collected from a random sample
STAT 3743, Exam 1, Spring 2012. Name
#1.
1:
The heights (in inches) measured from a sample of college students were: 52, 66, 69, 58, 72. Find
the sample mean, sample variance, and sample range.
Sample mean = E 7 ' H-
Sample variance = g;
a i 3-
3 {3
Exercise on Bayes Theorem
Name _
A retail store carries a product that is supplied by three manufactures, A, B, and C, and
30% from A, 20% from B and 50% from C. It is known that 2% of the products from A are
defective, 3% from B are defective, and 5% fro
Homework Assignment
Name _
3
1. The p.d.f. of random variable X is f ( x) = x 2 , for 1 < x < 1.
2
1
a. Find P ( < X )
2
b. Find c.d.f. of X, F(x).
c. Find the median of the distribution.
d. Find the mean and the variance of random variable X.
2. The rand
Exercise on Counting Techniques:
1. How many ways can the five letters in the word THINK be rearranged to form
a five-letter code word?
2. If one wishes to randomly select a representative from a group 20 individuals
which including Paul, what is probabil
Exercise Problems for Discrete Probability Distributions
1. For a multiple choice test, each question has four possible answers of which
exactly one is correct. For a test consisting of five questions and a student
selects answers at random for all five q
STAT 3743, Exercise on Discrete Distribution.
1. Let the p.d.f. of a random variable X be defined by f ( x) =
Name _
4 x
, x = 2, 1, 3.
10
a) Find the expected value and variance of X.
b) If F(x) is the cumulative distribution function of X, what is F(1)?
Your paper should have project title and your name and major. Charts and tables should
always be properly numbered and labeled. See example below which will be a good
format to use for your future projects.
Project: Pulse Rates Analysis
John Smith
Major i