IS 310 Exam#1 Questions With Complete Solutions
2 Numerical ways of describing quantitative variables: Correct
Answer 1. Measures of location
2. Measures of dispersion
2 Types of Statistics Correct Answer 1. Descriptive
2. Inferential
Addition Law Correct Answer The addition law provides a
way to compute the probability of event A, or B, or both A and
B occurring
P(AUB) = P(A) + P(B) - P(A∩B)
Assigning Probabilities Correct Answer Classical Method
(Naïve Definition of Probability)
Relative Frequency Method (Empirical Probability)
Subjective Method
assigning probabilities Correct Answer Probability is a
function, which takes an experimental outcome A in the sample
space S as an input and gives a number P(A) between 0 and 1 as
an output.
This function has the following characteristics:
The probability assigned to each experimental outcome must be
between 0 and 1, inclusively. 0 < P(Ei ) < 1 for all i
The sum of the probabilities for all experimental outcomes in the
sample space must equal 1.
,The probability of any event is equal to the sum of the
probabilities of all the outcomes (sample points) in the event.
bar chart Correct Answer is a graphical display for depicting
qualitative data.
-On one axis (usually the horizontal axis), we specify the labels
that are used for each of the classes.
-A frequency, relative frequency, or percent frequency scale can
be used for the other axis (usually the vertical axis).
-Using a bar of fixed-width drawn above each class label, we
extend the height appropriately.
-The bars are separated to emphasize the fact that each class is a
separate category.
Basic Relationships of Probability Correct Answer
Complement of an Event
Union of Two Events
Intersection of Two Events
Mutually Exclusive Events
Bayes' Theorem Correct Answer P(A | B) = P(B | A)P(A) /P(B)
If
bivariate data Correct Answer the relationship between two
variables
One graphical technique we use to show the relationship
between two variables is called a scatter diagram.
, Boxplot Correct Answer displays the 5-number summary as a
central box with whiskers that extend to the non-outlying data
values- your max and min
Chebyshev's Theorem Correct Answer The proportion of the
items in any data set that will be within z standard deviations of
the mean, is at least (1 - 1/z^2).
Chebyshev's theorem requires z > 1, but z need not be an
integer.
Class frequency Correct Answer The number of observations
in each class.
Class Interval Correct Answer The class interval is obtained by
subtracting the lower limit of a class from the lower limit of the
next class.
Class midpoint Correct Answer A point that divides a class into
two equal parts. This is the average of the upper and lower class
limits.
Classical Method (Naïve Definition of Probability) Correct
Answer Assigning probabilities based on the assumption of
equally likely outcomes
You have a fair coin - Possible outcomes: {H,T}
P(H) = # of favorable outcomes / # of possible outcomes
Coefficient of Variation Correct Answer The coefficient of
variation indicates how large the standard deviation is in relation
to the mean
it shows the std. dev percentage of the mean
2 Numerical ways of describing quantitative variables: Correct
Answer 1. Measures of location
2. Measures of dispersion
2 Types of Statistics Correct Answer 1. Descriptive
2. Inferential
Addition Law Correct Answer The addition law provides a
way to compute the probability of event A, or B, or both A and
B occurring
P(AUB) = P(A) + P(B) - P(A∩B)
Assigning Probabilities Correct Answer Classical Method
(Naïve Definition of Probability)
Relative Frequency Method (Empirical Probability)
Subjective Method
assigning probabilities Correct Answer Probability is a
function, which takes an experimental outcome A in the sample
space S as an input and gives a number P(A) between 0 and 1 as
an output.
This function has the following characteristics:
The probability assigned to each experimental outcome must be
between 0 and 1, inclusively. 0 < P(Ei ) < 1 for all i
The sum of the probabilities for all experimental outcomes in the
sample space must equal 1.
,The probability of any event is equal to the sum of the
probabilities of all the outcomes (sample points) in the event.
bar chart Correct Answer is a graphical display for depicting
qualitative data.
-On one axis (usually the horizontal axis), we specify the labels
that are used for each of the classes.
-A frequency, relative frequency, or percent frequency scale can
be used for the other axis (usually the vertical axis).
-Using a bar of fixed-width drawn above each class label, we
extend the height appropriately.
-The bars are separated to emphasize the fact that each class is a
separate category.
Basic Relationships of Probability Correct Answer
Complement of an Event
Union of Two Events
Intersection of Two Events
Mutually Exclusive Events
Bayes' Theorem Correct Answer P(A | B) = P(B | A)P(A) /P(B)
If
bivariate data Correct Answer the relationship between two
variables
One graphical technique we use to show the relationship
between two variables is called a scatter diagram.
, Boxplot Correct Answer displays the 5-number summary as a
central box with whiskers that extend to the non-outlying data
values- your max and min
Chebyshev's Theorem Correct Answer The proportion of the
items in any data set that will be within z standard deviations of
the mean, is at least (1 - 1/z^2).
Chebyshev's theorem requires z > 1, but z need not be an
integer.
Class frequency Correct Answer The number of observations
in each class.
Class Interval Correct Answer The class interval is obtained by
subtracting the lower limit of a class from the lower limit of the
next class.
Class midpoint Correct Answer A point that divides a class into
two equal parts. This is the average of the upper and lower class
limits.
Classical Method (Naïve Definition of Probability) Correct
Answer Assigning probabilities based on the assumption of
equally likely outcomes
You have a fair coin - Possible outcomes: {H,T}
P(H) = # of favorable outcomes / # of possible outcomes
Coefficient of Variation Correct Answer The coefficient of
variation indicates how large the standard deviation is in relation
to the mean
it shows the std. dev percentage of the mean
