Question 1

If X and Y are independent, then the coefficient of correlation equals ____________________.

Accepted Answer

The answer of If X and Y are independent, then...

Question 2

To find the probability that X is at least 10, you should find the probability that X is 10 or ____________________.

Accepted Answer

The answer of To find the probability that X is...

Question 3

Retries
The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media.
  
-{Retries Narrative} What is the variance for the number of retries?

Accepted Answer

The answer of Retries
The following table contains the probability distribution...

Question 4

Katie's Portfolio
Katie is given the following information about the returns on two stocks:
E(RS1U1B11S1U1B0) = 0.10, E(RS1U1B12S1U1B0) = 0.15, V(RS1U1B11S1U1B0) = 0.0225, and V(RS1U1B12S1U1B0) = 0.0441.
-{Katie's Portfolio Narrative} Compute the expected value of the portfolio composed of 30% stock 1 and 70% stock 2.

Accepted Answer

E(R_p) = w₁E(R₁) + w₂E(R₂)

Question 5

The expected return of a two-asset portfolio is equal to the product of the weight assigned to the first asset and the expected return of the first asset plus the product of the weight assigned to the second asset and the expected return of the second asset.

Accepted Answer

A) True 
 B)False

Question 6

Number of Motorcycles
The probability distribution of a discrete random variable X is shown below, where X represents the number of motorcycles owned by a family.
  
-{Number of Motorcycles Narrative} Apply the laws of expected value and variance to find the following:
a.
V(3X)
b.
V(3X- 2)
c.
V(3)
d.
V(3X)- 2

Accepted Answer

a.
8.89
b.

Question 7

One of the ways in which financial analysts lower the risk that is associated with the stock market is through diversification.

Accepted Answer

A) True 
 B)False

Question 8

A table, formula, or graph that shows all possible values a random variable can assume, together with their associated probabilities, is referred to as probability distribution.

Accepted Answer

A) True 
 B)False

Question 9

Golfing Store
The joint probability distribution of variables X and Y is shown in the table below, where X is the number of drivers and Y is the number of putters sold daily in a small golfing store.
  
-{Golfing Store Narrative} Verify that V(X + Y) = V(X) + V(Y).Did you expect this result? Why?

Accepted Answer

V(X) + V(Y) = 0.61 +

Question 10

A(n) ____________________ distribution provides probabilities of combinations of two random variables.

Accepted Answer

The answer of A(n) ____________________ distribution provides probabilities of combinations...

Question 11

Classified Department Phone Calls
A classified department receives an average of 10 telephone calls each afternoon between 2 and 4 P.M.The calls occur randomly and independently of one another.
-{Classified Department Phone Calls Narrative} Find the probability that the department will receive at least five calls between 2 and 4 P.M.on a particular afternoon.

Accepted Answer

@#LAT-DLM& = 10; P(X

Question 12

A Poisson random variable is a(n) ____________________ random variable.

Accepted Answer

The answer of A Poisson random variable is a(n) ____________________...

Question 13

The length of time for which an apartment in a large complex remains vacant is a discrete random variable.

Accepted Answer

A) True 
 B)False

Question 14

A lab at the DeBakey Institute orders 150 rats a week for each of the 52 weeks in the year for experiments that the lab conducts.Suppose the mean cost of rats used in lab experiments turned out to be $20.00 per week.Interpret this value.

Accepted Answer

A)  Most of the weeks resulted in rat costs of $20.00 
B)  The median cost for the distribution of rat costs is $20.00 
C)  The expected or average costs for all weekly rat purchases is $20.00 
D)  The rat cost that occurs more often than any other is $20.00 
A)  Most of the weeks resulted in rat costs of $20.00 
B)  The median cost for the distribution of rat costs is $20.00 
C)  The expected or average costs for all weekly rat purchases is $20.00 
D)  The rat cost that occurs more often than any other is $20.00

Question 15

Stress
Consider a binomial random variable X with n = 5 and p = 0.40, where X represents the number of times in the final exam week a student with 18 credit hours may feel stressed.
-{Stress Narrative} Find P(2 $\le$X $\le$4).

Accepted Answer

The answer of Stress
Consider a binomial random variable X with...

Question 16

Online Bankers
An official from the securities commission estimates that 75% of all online bankers have profited from the use of insider information.Assume that 15 online bankers are selected at random from the commission's registry.
-{Online Bankers Narrative} Find the variance and standard deviation of the number of Online bankers who have profited from the use of insider information.

Accepted Answer

@#LAT-DLM&² = 2.8125

Question 17

Unsafe Levels of Radioactivity
The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year.
-{Unsafe Levels of Radioactivity Narrative} Find the standard deviation of the number of incidents is in one year.

Accepted Answer

The answer of Unsafe Levels of Radioactivity
The number of incidents...

Question 18

Gym Visits
Let X represent the number of times a student visits a gym in a one month period.Assume that the probability distribution of X is as follows:
  
-{Gym Visits Narrative} Find the mean $\mu$ and the standard deviation $\sigma$ of this distribution.

Accepted Answer

@#LAT-DLM&_x = 1.85 an

Question 19

The ____________________ of X and Y is a measure of the strength and direction of the linear relationship between X and Y.It is easy to put into perspective because it is always between -1 and 1.

Accepted Answer

correlatio

Question 20

Elizabeth's Portfolio
Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2.She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively.
-{Elizabeth's Portfolio Narrative} Find the expected mean of the portfolio.

Accepted Answer

The expected return of the por

If X and Y are independent, then the coefficient of correlation equals ____________________.

To find the probability that X is at least 10, you should find the probability that X is 10 or ____________________.

Retries The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media. -{Retries Narrative} What is the variance for the number of retries?

Katie's Portfolio Katie is given the following information about the returns on two stocks: E(R₁) = 0.10, E(R₂) = 0.15, V(R₁) = 0.0225, and V(R₂) = 0.0441. -{Katie's Portfolio Narrative} Compute the expected value of the portfolio composed of 30% stock 1 and 70% stock 2.

The expected return of a two-asset portfolio is equal to the product of the weight assigned to the first asset and the expected return of the first asset plus the product of the weight assigned to the second asset and the expected return of the second asset.

One of the ways in which financial analysts lower the risk that is associated with the stock market is through diversification.

A table, formula, or graph that shows all possible values a random variable can assume, together with their associated probabilities, is referred to as probability distribution.

Golfing Store The joint probability distribution of variables X and Y is shown in the table below, where X is the number of drivers and Y is the number of putters sold daily in a small golfing store. -{Golfing Store Narrative} Verify that V(X + Y) = V(X) + V(Y).Did you expect this result? Why?

A(n) ____________________ distribution provides probabilities of combinations of two random variables.

A Poisson random variable is a(n) ____________________ random variable.

The length of time for which an apartment in a large complex remains vacant is a discrete random variable.

A lab at the DeBakey Institute orders 150 rats a week for each of the 52 weeks in the year for experiments that the lab conducts.Suppose the mean cost of rats used in lab experiments turned out to be $20.00 per week.Interpret this value.

Stress Consider a binomial random variable X with n = 5 and p = 0.40, where X represents the number of times in the final exam week a student with 18 credit hours may feel stressed. -{Stress Narrative} Find P(2 $\le$ X $\le$ 4).

Unsafe Levels of Radioactivity The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year. -{Unsafe Levels of Radioactivity Narrative} Find the standard deviation of the number of incidents is in one year.

The ____________________ of X and Y is a measure of the strength and direction of the linear relationship between X and Y.It is easy to put into perspective because it is always between -1 and 1.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 7: Random Variables and Discrete Probability Distributions

If X and Y are independent, then the coefficient of correlation equals ____________________.

To find the probability that X is at least 10, you should find the probability that X is 10 or ____________________.

Retries The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media. -{Retries Narrative} What is the variance for the number of retries?

Katie's Portfolio Katie is given the following information about the returns on two stocks: E(R1) = 0.10, E(R2) = 0.15, V(R1) = 0.0225, and V(R2) = 0.0441. -{Katie's Portfolio Narrative} Compute the expected value of the portfolio composed of 30% stock 1 and 70% stock 2.

The expected return of a two-asset portfolio is equal to the product of the weight assigned to the first asset and the expected return of the first asset plus the product of the weight assigned to the second asset and the expected return of the second asset.

One of the ways in which financial analysts lower the risk that is associated with the stock market is through diversification.

A table, formula, or graph that shows all possible values a random variable can assume, together with their associated probabilities, is referred to as probability distribution.

Golfing Store The joint probability distribution of variables X and Y is shown in the table below, where X is the number of drivers and Y is the number of putters sold daily in a small golfing store. -{Golfing Store Narrative} Verify that V(X + Y) = V(X) + V(Y).Did you expect this result? Why?

A(n) ____________________ distribution provides probabilities of combinations of two random variables.

A Poisson random variable is a(n) ____________________ random variable.

The length of time for which an apartment in a large complex remains vacant is a discrete random variable.

A lab at the DeBakey Institute orders 150 rats a week for each of the 52 weeks in the year for experiments that the lab conducts.Suppose the mean cost of rats used in lab experiments turned out to be $20.00 per week.Interpret this value.

Stress Consider a binomial random variable X with n = 5 and p = 0.40, where X represents the number of times in the final exam week a student with 18 credit hours may feel stressed. -{Stress Narrative} Find P(2 ≤\le≤ X ≤\le≤ 4).

Unsafe Levels of Radioactivity The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 6 incidents per year. -{Unsafe Levels of Radioactivity Narrative} Find the standard deviation of the number of incidents is in one year.

Gym Visits Let X represent the number of times a student visits a gym in a one month period.Assume that the probability distribution of X is as follows: -{Gym Visits Narrative} Find the mean μ\muμ and the standard deviation σ\sigmaσ of this distribution.

The ____________________ of X and Y is a measure of the strength and direction of the linear relationship between X and Y.It is easy to put into perspective because it is always between -1 and 1.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

Katie's Portfolio Katie is given the following information about the returns on two stocks: E(R₁) = 0.10, E(R₂) = 0.15, V(R₁) = 0.0225, and V(R₂) = 0.0441. -{Katie's Portfolio Narrative} Compute the expected value of the portfolio composed of 30% stock 1 and 70% stock 2.

Stress Consider a binomial random variable X with n = 5 and p = 0.40, where X represents the number of times in the final exam week a student with 18 credit hours may feel stressed. -{Stress Narrative} Find P(2 $\le$ X $\le$ 4).