Exercise 1. Suppose that U is a continuous random variable that is uniformly distributed
between 0 and 6. For all problems below, practice good notation!
(a) Sketch the probability density function for U .
This is basicall
Exercise 1. Suppose that Y is a random variable with pdf
Pr (Y = y)
0.25 0.03 0.08 p
(a) Calculate the value of p.
1 (0.25 + 0.03 + 0.08) = 0.64.
(b) What is the probability that Y is odd?
Pr (Y is odd ) = 1.
Exercise 1. A die is loaded so that it only lands on a 1 or a 6 with equal probability.
Consider the random experiment in which we roll the die 3 times.
(a) Describe the sample space for this experiment.
Sample Space = All
Exercise 1. For the following problems, use the data: cfw_64, 58, 33, 82, 79, 63, 46, 66, 77, 110.
(a) Compute the mean.
x = 67.8.
(b) Compute the standard deviation.
s = 21.12.
(c) Compute the median.
x = 65.
January3,2011 PSTAT5AStatistics BinhPham Office Hours: 5501 South Hall [email protected] TAs GoToSection MeetyourTA OfficeHours Tuesday2:153:15 9:30 Sections ClassroomSection o Grouporindividualassignments ComputerSection o Onlineapplet
Quiz 5 Practice Problems
Exercise 1: In this problem we will investigate the relationship between movie critic rating
and box oce revenue. In particular, we will try to use critic score to describe box oce
revenue. Box oce revenue is
Quiz 2 Practice Problems
Exercise 1. Some people claim that pets look like their owners. To study this you show
somebody a picture of the owner next to 3 pictures of cats, only one of which belongs to the
person, and you ask the perso
Quiz 1 Practice Problems
Exercise 1. Consider the random experiment where we ip a coin 4 times.
(a) Write out the sample space.
(b) Suppose we observe the rst three ips and they are all tails. Whats the probability
that we observe hea
Quiz 4 Practice Problems
Exercise 1: A label on a certain cereal package states that the true mean weight of the
packages is 16 ounces. A consumer group insists that the true mean weight is less than
stated. Suppose the population sta
Quiz 3 Practice Problems
Exercise 1. For the following data, create a ve number summary, nd the mean, variance
and standard deviation, and the IQR and sketch a box plot of the data.
cfw_12.1, 4.2, 18.9, 5.6, 7, 19, 24, 2.5, 6
Oce: South Hall 5514
Office Hours MW 1:00-2:30 (or by appointment)
Your TA will also hold oce hours. You should direct questions to your
TA rst whenever possible.
Exercise 1. Plants A and B both manufacture equivalent parts. A company wants to
compare the quality of parts made by the two manufacturers, so they order 200 of a certain
part from each provider. Out of the 200 from compa
Exercise 1. Body temperatures of 30 healthy men and women were measured and the
mean and standard deviation of the sample was 98.25 and 0.721, respectively. We want to
use this data to test that the traditional value of 98
Exercise 1. A sample of reading scores of 35 fth-graders has a mean of 82. The reading
standard deviation of the sample is 15.
(a) Can we reasonably use the normal distribution to model the sample mean here?
Yes, all we ne
An ideal world given by probability;
A real world with data;
The Statisticians Objectives
1. Ask the right questions
2. Collect useful data
3. Summarize the data
4. Make decisions and generalizations based on the data
5. Turn the dat
A social science researcher went to a elementary school and asked every fourth and fth grader
what they thought was their most important goal: Get good grades, Be popular, or Do well
in sports. The