(a) E
(b) F
(c) EF
( d) G'
(e) EF'.
If A and B are events, then A and B are said to be disjoint or mutually exclusive if AB is
empty.
Example 3 A coin is tossed three times and the sequence of heads a
H is the set of all hands of 2 cards chosen from 52 such that both cards are
diamonds.
Example 1 Let S be the sample space of Example 2.
(a) Describe the event E that a factory worker was covered by s
product: n(A C) = n(A)n(C). In this case, we get 153 = 4 5 different ice cream
cones we can select.
This example illustrates another general principle.
Multiplication Principle
When making a sequence
14. HTML Colors in HTML (the language in which many web pages are written) can
be represented by 6-digit hexadecimal codes: sequences of six integers ranging from 0
to 15 (represented as 0, ., 9, A, B
Topic 4
Introduction to Probability
(Based on 4.1, 4.2 in book)
Sample Spaces
Let's start with a familiar situation: If you toss a coin and observe which side lands up, there
are two possible results:
Topic 3
Interpreting the Standard Deviation: Chebyshev's Rule & The Empirical Rule
(Section 2.6 in book)
Question Suppose we have a set of data with mean x = 10 and standard deviation s = 2.
How do we
Income
Bracket
Frequency
$20,000 $29,999
20
$30,000 $39,999
80
$40,000 $49,999
230
$50,000 $59,999
400
$60,000 $69,999
170
$70,000 $79,999
70
$80,000 $89,999
30
Let X be the number that is the midpoin
rel. frequency
Realtive Frequency Histogram
0.4
0.35
0.3
0.25
0.2
0.15
0.1
0.05
0
X
25000 35000 45000 55000 65000 75000 85000
Note We shall often be given a distribution involving categories with rang
The sample median is the middle number when the scores are arranged in ascending order.
To find the median, arrange the scores in ascending order. If n is odd, m is the middle
number, otherwise, it is
Example 8 Calculate the sample variance and sample standard deviation for the data set
cfw_3.7, 3.3, 3.3, 3.0, 3.0, 3.0, 3.0, 2.7, 2.7, 2.3.
Here is a frequency histogram.
4
3
2
1
0
1
1.3
1.7
2
2.3
2.
Math 1140 Statistics for Business
Syllabus Sections 03,04 Spring 2011
Prerequisite: You must have passed INFO 101 PRIOR to taking Math 114.
Instructor: John Liukkonen Office: 405 Gibson
Email: [email protected]