BUSINESS STATISTICS FINAL EXAM FULL STUDY
GUIDE ACTUAL EXAM; 100+ COMPLETE
ACCURATE QUIZZES WITH DETAILED VERIFIED
ANSWERS; 2025
a bell shaped curve is - ANS-normal
a rectangle on the graph is - ANS-uniform
A ------ can assume any value
in an interval on the real line or in a collection of intervals when talking about --------- - ANS-continuous
random variable
Continuous Probability Distributions
for the ----------- It is not possible to talk about the probability of the
random variable assuming a particular value. Instead, we talk about the probability of the random
variable assuming a value --- - ANS-Continuous Probability Distributions
within a given interval
according to the ------The probability of the random variable assuming a
value within some given interval from x1 to x2 is defined to be the area------ of the ------ between x1 and
x2. - ANS-Continuous Probability Distributions
under the graph
probability density function
A random variable is ----------
whenever the probability is proportional to the interval's length. - ANS-uniformly distributed
The --------is: is where a is the --- value the variable can assume and b = ---- value the variable can assume
- ANS-uniform probability density function
smallest
largest
UNIFORM Probability Distribution involves - ANS-uniform probability density function
variance of x
,expected value of x
Example: Slater's Buffet
Slater customers are charged for the amount of salad they take. Sampling suggests that the amount of
salad taken is uniformly distributed between 5 ounces and 15 ounces.
where:
x = salad plate filling weight - ANS-@Uniform Probability Distribution
f(x) = 1/10 for 5 < x < 15
= 0 elsewhere
@Expected value of X
(x) = (a + b)/2 = (5 + 15)/2 = 10
@Variance of x
Var(x) = (b - a)2/12 = (15 - 5)2/12 = 8.33
anything in a range equals - ANS-continuous probability distribution
first you have to find the range in order to find the - ANS-probability
probability under the graph is the - ANS-area
the area can be the - ANS-probability
uniform means - ANS-equal, the same
is spread out evenly among the range - ANS-probability
what formula is discrete from chapter 5 - ANS-uniform probability distribution
what formula is continuous - ANS-uniform probability DENSITY distribution
b-a = - ANS-range of possibilities
x - ANS-observation
x is between - ANS-a and b
elsewhere probability = - ANS-0
lower and upper boundaries are - ANS-parameters
5 ounces and 15 ounces are - ANS-lower and upper boundaries which are parameters
the probability of the plate weighing more than 15 or less than 5 is - ANS-0
keys of knowing when to use the probability distribution function - ANS-if the question talks about
parameters, equally likely, assume uniform distribution,
, f( 12 is less than or equal to x which is less than or equal to 15) it is the same without the - ANS-equal
line underneath
the average is the - ANS-expected value
between 12 and 15 looks like - ANS-x is greater or equal to 12 and x is less than or equal to 15 (12<x<15)
f(x) equals (12<x<15) which is a - ANS-probability
area of a rectangle formula - ANS-width times height
probability and are formula for rectangle - ANS-width times height
width is equal to - ANS-15-12 in the (12<x<15) probability
height equals - ANS-uniform probability distribution
probability always equals - ANS-one
half the graph will be - ANS-half the probability
The area under the graph of f(x) and probability are
identical. - ANS-area as a measure of probability
The -----of f(x) and --- are
identical. This is valid for all -----random variables. - ANS-area under the graph
probability
continuous
The probability that x takes on a value between some
lower value x1 and some higher value x2 can be found by computing the -----of f(x) over the ----- from x1
to x2. - ANS-area under the graph
interval
you cannot find the probability of ===== you need the width and the height, you can only find an - ANS-a
single value
interval
The------ is the most
important distribution for describing a continuous random variable. - ANS-normal probability
distribution
It is widely used in statistical inference. - ANS-normal probability distribution
has been used in a wide variety of applications
including:
• Heights of people • Rainfall amounts
• Test scores • Scientific measurements - ANS-normal probability distribution
GUIDE ACTUAL EXAM; 100+ COMPLETE
ACCURATE QUIZZES WITH DETAILED VERIFIED
ANSWERS; 2025
a bell shaped curve is - ANS-normal
a rectangle on the graph is - ANS-uniform
A ------ can assume any value
in an interval on the real line or in a collection of intervals when talking about --------- - ANS-continuous
random variable
Continuous Probability Distributions
for the ----------- It is not possible to talk about the probability of the
random variable assuming a particular value. Instead, we talk about the probability of the random
variable assuming a value --- - ANS-Continuous Probability Distributions
within a given interval
according to the ------The probability of the random variable assuming a
value within some given interval from x1 to x2 is defined to be the area------ of the ------ between x1 and
x2. - ANS-Continuous Probability Distributions
under the graph
probability density function
A random variable is ----------
whenever the probability is proportional to the interval's length. - ANS-uniformly distributed
The --------is: is where a is the --- value the variable can assume and b = ---- value the variable can assume
- ANS-uniform probability density function
smallest
largest
UNIFORM Probability Distribution involves - ANS-uniform probability density function
variance of x
,expected value of x
Example: Slater's Buffet
Slater customers are charged for the amount of salad they take. Sampling suggests that the amount of
salad taken is uniformly distributed between 5 ounces and 15 ounces.
where:
x = salad plate filling weight - ANS-@Uniform Probability Distribution
f(x) = 1/10 for 5 < x < 15
= 0 elsewhere
@Expected value of X
(x) = (a + b)/2 = (5 + 15)/2 = 10
@Variance of x
Var(x) = (b - a)2/12 = (15 - 5)2/12 = 8.33
anything in a range equals - ANS-continuous probability distribution
first you have to find the range in order to find the - ANS-probability
probability under the graph is the - ANS-area
the area can be the - ANS-probability
uniform means - ANS-equal, the same
is spread out evenly among the range - ANS-probability
what formula is discrete from chapter 5 - ANS-uniform probability distribution
what formula is continuous - ANS-uniform probability DENSITY distribution
b-a = - ANS-range of possibilities
x - ANS-observation
x is between - ANS-a and b
elsewhere probability = - ANS-0
lower and upper boundaries are - ANS-parameters
5 ounces and 15 ounces are - ANS-lower and upper boundaries which are parameters
the probability of the plate weighing more than 15 or less than 5 is - ANS-0
keys of knowing when to use the probability distribution function - ANS-if the question talks about
parameters, equally likely, assume uniform distribution,
, f( 12 is less than or equal to x which is less than or equal to 15) it is the same without the - ANS-equal
line underneath
the average is the - ANS-expected value
between 12 and 15 looks like - ANS-x is greater or equal to 12 and x is less than or equal to 15 (12<x<15)
f(x) equals (12<x<15) which is a - ANS-probability
area of a rectangle formula - ANS-width times height
probability and are formula for rectangle - ANS-width times height
width is equal to - ANS-15-12 in the (12<x<15) probability
height equals - ANS-uniform probability distribution
probability always equals - ANS-one
half the graph will be - ANS-half the probability
The area under the graph of f(x) and probability are
identical. - ANS-area as a measure of probability
The -----of f(x) and --- are
identical. This is valid for all -----random variables. - ANS-area under the graph
probability
continuous
The probability that x takes on a value between some
lower value x1 and some higher value x2 can be found by computing the -----of f(x) over the ----- from x1
to x2. - ANS-area under the graph
interval
you cannot find the probability of ===== you need the width and the height, you can only find an - ANS-a
single value
interval
The------ is the most
important distribution for describing a continuous random variable. - ANS-normal probability
distribution
It is widely used in statistical inference. - ANS-normal probability distribution
has been used in a wide variety of applications
including:
• Heights of people • Rainfall amounts
• Test scores • Scientific measurements - ANS-normal probability distribution
