Statistics 100 Spring 2010
Exam 1 Solutions
PROBLEM 1, (70 points)
The data below give temperatures on the day of launch for space shuttles on 23
launches; there were O-ring failures on 7 launches
fail
no fail
no fail
70
66
67
57
69
67
63
68
75
70
67
70
5
Instructions:
JI.
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Name_ _
J._<:"_E_Y
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Midterm I
Fal12010
Statistics 100
I . W ORK A LL P ROBLEMS. Please, give details and explanations and
S HOW A LL Y OUR W ORK so that partial credits can be given.
2. You may use one page o f notes, table and a calc
STA 100: Homework 6 Due: 5:00pm, Wed 2nd March
Assigned: Thursday, 24th February For all questions you must show your working. This enables us to understand your thought process, give partial credit and prevent crude cheating. Please see the code of the c
STAT346, fall 2015, Quiz 2 solutions
1. Let A and B be events. You may use either logic or set theory notation to answer either (a)
or (b).
(a) Write P(A or B) as a function of P(B) and P(A and B c ).
(b) Write P(A B) as a function of P(B) and P(A B c ).
0)
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Correlation Coefficient 'r'
MDM 4U0
Date:_
We have observed that when trying to compare TWO variables, the statistics of _
_ and _of just one of the variables is not very revealing. We started to
look at 'co-variance', a measure that takes the _ of the tw
MDM 4U0
Statistics and Normal Distributions Review
1. Below are the monthly sales (in$10,000) for a sporting goods store.
10, 8, 10, 8, 11, 8, 6, 5, 10, 11, 11, 14
a) Find the median and the mean of the monthly sales.
b) Find the range and the inter-quart
MDM 4U0
Binomial Probability Distributions
Date:_
1. A baseball player has a batting average of 0.320.
a. Determine a probability distribution for the number of hits per game if he is at bat three times.
b. Calculate the batters expected number of hits pe
MDM 4U0
Mutually Exclusive Events
Mutually Exclusive events or DISJOINT events are defined as two or more events which CANNOT occur at
the same time.
i.e.
A pitcher can either throw a fastball or a curve ball not both.
A card player can choose a heart o
Homework 2 solutions
1. The area of the United States composed of the six states Maine, Massachusetts, New Hampshire, Vermont, Rhode Island, and Connecticut is called New England. If for a randomly
selected person from the US, the probability they were bo
STAT346, fall 2015, Quiz 5 solutions
1. For each joint distribution function below, indicate if X and Y are independent or not independent, and show and/or explain how you know.
(a) f (x, y) = xex(y+1) ,
0 x < ,
0y<
X and Y are not independent because the
STA100A and STA100B winter 2016 Homework 1
Due at the beginning of class on Monday Jan. 11, 2016
Write your name and student ID
on the left side at the top of the first page.
Write the homework number in the middle at the top
of the first page. (Any forma
1
STA100A and STA100B Homework 7
Due at the beginning of class on February 22, 2016
Write your name and student ID
on the left side at the top of the first page.
Write the homework number in the middle at the top of the first page.
Write your section numb
Justin Chow
913330317
Homework 1
Question 1
Number of bacteria resistant to certain
virus
Frequency
13
2
14
2
15
2
16
1
20
21
1
1
26
1
A04
(b) The histogram is skewed to the right; this indicated that the mean is higher
than the median.
(c) Median = 15; 1
STAT346, section 002 Homework 11 solutions
Theorem 1
Let Y1 , Y2 , . . . , Yk be independent random variables, where for i = 1, . . . , k, Yi Binomial(ni , p).
Define
W =
k
X
Yi .
i=1
Then W Binomial(n1 + n2 + + nk , p).
Theorem 2
Let Y be a normally dist
STAT346, section 002 Homework 1 solutions
1. Tenants in a large apartment complex are allowed to own dogs, cats, and rabbits, but
are not allowed to own more than two pets. Write down the sample space for the pets
owned by the tenants in a randomly select
STAT346, section 002 Homework 9 solutions
The density function for the Gamma distribution is
f (x) =
1
x1 ex/ for 0 x < ,
(a)
, > 0,
(1)
() is called the Gamma function. It is defined for all real numbers. For any a (, )
Z
(a)
ua1 eu du,
0
where means
MDM4U
Oct. 10th A
Unit 2 Test Probability
_ Name: _
48
Knowledge and Understanding
1. The probability of tossing a head with a coin is _
2. The probability of rolling odd number on a die is _
3. The probability of rain tomorrow is 0.7, therefore the pro
# Discussion 5 for STA100B Winter 2014
# Code for Calculating Confidence Interval for population mean difference
# NOTE: The code uses unpooled SE. Input samples and alpha, then you can run
# through line by line to get the CI: (lower.bound, upper.bound)
STA 100
Winter 2014
Hala Daqqa
Email Address: hdaqqa@ucdavis.edu
Office hours: Tuesday 10:00 11:00
Or by appointment
What is statistics useful for ?
Statistics appears in almost all areas of science,
technology, research, and wherever data is obtained fo
STA 100 Winter 2014 Midterm 1 Solutions
a. The ordered data: 10.9, 11.8, 11.9, 12.0, 12.1, 12.2, 12.2, 12.4, 12.6, 12.7, 13.1, 13.2, 13.4,
13.5, 14.1
and n = 15, so that:
Median: (n+1)*0.50 = 16*0.50 = 8, so the value in the 8th position is the median, th