Question 1

The binominal distribution:

Accepted Answer

A)  is a discrete distribution used to model the number of occurrences in some unit of measure. 
B)  assumes that the average number of occurrences per unit is a constant and that occurrences are independent. 
C)  is symmetric irrespective of the value of the probability of success. 
D)  models n independent replications of a Bernoulli experiment, each with a probability p of success. 
A)  is a discrete distribution used to model the number of occurrences in some unit of measure. 
B)  assumes that the average number of occurrences per unit is a constant and that occurrences are independent. 
C)  is symmetric irrespective of the value of the probability of success. 
D)  models n independent replications of a Bernoulli experiment, each with a probability p of success.

Question 2

Use the data given below to answer the following questions).
On an average, the number of students that choose to study Arts subjects at Greyin Tide University is 17 each year. Hint: Use Poisson distribution formula).
-What is the probability that exactly 13 students will take up Arts in the coming year?

Accepted Answer

A)  0.08795 
B)  0.20087 
C)  0.04798 
D)  0.06585 
A)  0.08795 
B)  0.20087 
C)  0.04798 
D)  0.06585

Question 3

What are the properties of a probability mass function?

Accepted Answer

A probability mass function ha

Question 4

The of a random variable corresponds to the notion of the mean, or average, for a sample.

Accepted Answer

A)  mode 
B)  variance 
C)  expected value 
D)  standard deviation 
A)  mode 
B)  variance 
C)  expected value 
D)  standard deviation

Question 5

Use the data given below to answer the following questions).
At a casino, a combination of two spinners is used to decide the winner based on the sum of scores from spinning. The spinners each have four colored spaces - red, yellow, blue, and green. Red = 1, Yellow = 2, Blue = 3, and Green = 4
-What is the probability that the spinners land on colors summing up to exactly 3?

Accepted Answer

There are 16 outcomes. The fol

Question 6

Consider an event X comprised of three outcomes whose probabilities are $\frac { 9 } { 18 }$ , $\frac { 1 } { 18 }$ , and $\frac { 6 } { 18 }$ . Compute the probability of the complement of the event.

Accepted Answer

A)  $\frac { 2 } { 18 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 16 } { 3 }$ 
D)  $\frac { 16 } { 18 }$ 
A)  $\frac { 2 } { 18 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 16 } { 3 }$ 
D)  $\frac { 16 } { 18 }$

Question 7

Use the data given below to answer the following questions).
The profit from selling folding tables varies uniformly each quarter between $1,500 and $2,300.
-What is the probability that profit will be between $2,000 and $2,200?

Accepted Answer

P2,000 ≤ X ≤ 2,200) = PX ≤ 2,200) - PX ≤

Question 8

Which of the following is true of the binomial distribution?

Accepted Answer

A)  The expected value of the binomial distribution is np1 - p), where n is the number of experiments and p is the probability of success. 
B)  The binomial distribution can assume different shapes and amounts of skewness, depending on the parameters. 
C)  In Excel's binomial distribution function, setting cumulative to TRUE will provide the probability mass function for a specified value. 
D)  The expected value of the binomial distribution is λ, a constant. 
A)  The expected value of the binomial distribution is np1 - p), where n is the number of experiments and p is the probability of success. 
B)  The binomial distribution can assume different shapes and amounts of skewness, depending on the parameters. 
C)  In Excel's binomial distribution function, setting cumulative to TRUE will provide the probability mass function for a specified value. 
D)  The expected value of the binomial distribution is λ, a constant.

Question 9

Use the data given below to answer the following questions).
The profit from selling folding tables varies uniformly each quarter between $1,500 and $2,300.
-What is the probability that profit will be less than $1,900?

Accepted Answer

@#IMG-DLM& F1,900) =

Question 10

Use the data given below to answer the following questions).
On an average, the number of students that choose to study Arts subjects at Greyin Tide University is 17 each year. Hint: Use Poisson distribution formula).
-Which of the following is true about probability density functions?

Accepted Answer

A)  A graph of the density function must lie at or below the x-axis. 
B)  The total area under the density function below the x-axis is 2.0. 
C)  It calculates the probability of a random variable lying within a certain interval. 
D)  P (a) x P (b) is the area under the density function between two numbers a and b. 
A)  A graph of the density function must lie at or below the x-axis. 
B)  The total area under the density function below the x-axis is 2.0. 
C)  It calculates the probability of a random variable lying within a certain interval. 
D)  P (a) x P (b) is the area under the density function between two numbers a and b.

Question 11

How are probability, experiment, outcome, and sample space related to each other?

Accepted Answer

Probability is the likelihood that an ou

Question 12

Use the data given below to answer the following questions).
On an average, the number of students that choose to study Arts subjects at Greyin Tide University is 17 each year. Hint: Use Poisson distribution formula).
-A probability density function:

Accepted Answer

A)  is the probability distribution of discrete outcomes. 
B)  suggests that the probability that a random variable assumes a specific value must be positive. 
C)  characterizes outcomes of a continuous random variable. 
D)  can yield negative values depending on the values of the random variable, X. 
A)  is the probability distribution of discrete outcomes. 
B)  suggests that the probability that a random variable assumes a specific value must be positive. 
C)  characterizes outcomes of a continuous random variable. 
D)  can yield negative values depending on the values of the random variable, X.

Question 13

Which of the following is a weighted average of the squared deviations from the expected value?

Accepted Answer

A)  skewness 
B)  mean difference 
C)  kurtosis 
D)  variance 
A)  skewness 
B)  mean difference 
C)  kurtosis 
D)  variance

The binominal distribution:

What are the properties of a probability mass function?

The of a random variable corresponds to the notion of the mean, or average, for a sample.

Consider an event X comprised of three outcomes whose probabilities are $\frac { 9 } { 18 }$ , $\frac { 1 } { 18 }$ , and $\frac { 6 } { 18 }$ . Compute the probability of the complement of the event.

Use the data given below to answer the following questions). The profit from selling folding tables varies uniformly each quarter between $1,500 and $2,300. -What is the probability that profit will be between $2,000 and $2,200?

Which of the following is true of the binomial distribution?

Use the data given below to answer the following questions). The profit from selling folding tables varies uniformly each quarter between $1,500 and $2,300. -What is the probability that profit will be less than $1,900?

Use the data given below to answer the following questions). On an average, the number of students that choose to study Arts subjects at Greyin Tide University is 17 each year. Hint: Use Poisson distribution formula). -Which of the following is true about probability density functions?

How are probability, experiment, outcome, and sample space related to each other?

Use the data given below to answer the following questions). On an average, the number of students that choose to study Arts subjects at Greyin Tide University is 17 each year. Hint: Use Poisson distribution formula). -A probability density function:

Which of the following is a weighted average of the squared deviations from the expected value?

Introduction to Labour Market Economics

Database Analytics

Data Visualization

Descriptive Statistics

Sampling and Estimation

Statistical Inference

Trendlines and Regression Analysis

Forecasting Techniques

Introduction to Data Mining

Spreadsheet Modeling and Analysis

Simulation and Risk Analysis

Linear Optimization

Integer and Nonlinear Optimization Models

Optimization Analytics

Decision Analysis

Filters

Exam 5: Probability Distributions and Data Modeling

The binominal distribution:

What are the properties of a probability mass function?

The of a random variable corresponds to the notion of the mean, or average, for a sample.

Consider an event X comprised of three outcomes whose probabilities are 918\frac { 9 } { 18 }189​ , 118\frac { 1 } { 18 }181​ , and 618\frac { 6 } { 18 }186​ . Compute the probability of the complement of the event.

Use the data given below to answer the following questions). The profit from selling folding tables varies uniformly each quarter between $1,500 and $2,300. -What is the probability that profit will be between $2,000 and $2,200?

Which of the following is true of the binomial distribution?

Use the data given below to answer the following questions). The profit from selling folding tables varies uniformly each quarter between $1,500 and $2,300. -What is the probability that profit will be less than $1,900?

Use the data given below to answer the following questions). On an average, the number of students that choose to study Arts subjects at Greyin Tide University is 17 each year. Hint: Use Poisson distribution formula). -Which of the following is true about probability density functions?

How are probability, experiment, outcome, and sample space related to each other?

Use the data given below to answer the following questions). On an average, the number of students that choose to study Arts subjects at Greyin Tide University is 17 each year. Hint: Use Poisson distribution formula). -A probability density function:

Which of the following is a weighted average of the squared deviations from the expected value?

Introduction to Labour Market Economics

Database Analytics

Data Visualization

Descriptive Statistics

Sampling and Estimation

Statistical Inference

Trendlines and Regression Analysis

Forecasting Techniques

Introduction to Data Mining

Spreadsheet Modeling and Analysis

Simulation and Risk Analysis

Linear Optimization

Integer and Nonlinear Optimization Models

Optimization Analytics

Decision Analysis

Filters

Consider an event X comprised of three outcomes whose probabilities are $\frac { 9 } { 18 }$ , $\frac { 1 } { 18 }$ , and $\frac { 6 } { 18 }$ . Compute the probability of the complement of the event.