The yearly proportional return for stock G = x, the yearly proportional return for stock H = y, μx = .16, μy = .07, σx = .11, σy = .11, and σxy2 = .0321. Find the mean and standard deviation of the portfolio return: P = .45x + .55y.

mean = .111; standard deviation = .148 μ p = μ (.45 x +.55 y ) = .45(.16) + .55(.07) = .111 σ p = √[(.45) 2 (.111) 2 + (.55) 2 (.111) 2 + 2(.45)(.55)(.0321)] = = .148

Exam 6: Discrete Random Variables

The yearly proportional return for stock G = x, the yearly proportional return for stock H = y, μ_x = .16, μ_y = .07, σ_x = .11, σ_y = .11, and σ_xy² = .0321. Find the mean and standard deviation of the portfolio return: P = .45x + .55y.

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Question 1

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mean = .111; standard deviation = .148
μ_p = μ_(.45_x_+.55_y₎ = .45(.16) + .55(.07) = .111
σ_p = √[(.45)²(.111)² + (.55)²(.111)² + 2(.45)(.55)(.0321)] = = .148

For a random variable X, the mean value of the squared deviations of its values from their expected value is called its ________.

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A random variable that is defined to be the total number of successes in n trials is a ________ random variable.

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X has the following probability distribution. Compute the expected value of X.

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Question 4

The property of expected values says if a and b are constants, and if x and y are random variables, then μ₍_ax₊_by₎ = aμ_x + bμ_y + 2ab.

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Question 5

The J.O. Supplies Company buys calculators from a non-U.S. supplier. The probability of a defective calculator is 10 percent. If 10 calculators are selected at random, what is the probability that 3 or more of the calculators will be defective?

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Question 6

Twenty coins are tossed. What is the probability of getting exactly 10 heads?

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Question 7

For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the variance.

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Question 8

Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. If X = the number of arrivals per minute, find the expected value of X.

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Question 9

X has the following probability distribution P(X). Compute the expected value of X.

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Question 10

According to data from the state blood program, 40 percent of all individuals have group A blood. If six individuals give blood, find the probability that none of the individuals has group A blood.

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Question 11

A fair die is rolled 36 times. What is the standard deviation of the even number (2, 4, or 6) outcomes?

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Question 12

Consider the experiment of tossing a fair coin three times and observing the number of heads that result (X = number of heads). What is the variance for this distribution?

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Question 13

Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. Determine the expected number of customer arrivals for a five-minute period.

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Question 14

If n = 15 and p = .4, then the standard deviation of the binomial distribution is

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Question 15

Which of the following is not a discrete random variable?

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Question 16

In the most recent election, 19 percent of all eligible college students voted. If a random sample of 20 students were surveyed, find the probability that exactly half voted in the election.

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Question 17

Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. If X = the number of arrivals per minute, find the probability of more than 7 customers arriving within a minute.

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Question 18

The J.O. Supplies Company buys calculators from a non-U.S. supplier. The probability of a defective calculator is 10 percent. If 100 calculators are selected at random, what is the expected number of defectives?

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Question 19

The expected value of the discrete random variable x is the population mean.

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Question 20

Showing 1 - 20 of 150

The yearly proportional return for stock G = x, the yearly proportional return for stock H = y, μ_x = .16, μ_y = .07, σ_x = .11, σ_y = .11, and σ_xy² = .0321. Find the mean and standard deviation of the portfolio return: P = .45x + .55y.

For a random variable X, the mean value of the squared deviations of its values from their expected value is called its ________.

A random variable that is defined to be the total number of successes in n trials is a ________ random variable.

X has the following probability distribution. Compute the expected value of X.

The property of expected values says if a and b are constants, and if x and y are random variables, then μ₍_ax₊_by₎ = aμ_x + bμ_y + 2ab.

The J.O. Supplies Company buys calculators from a non-U.S. supplier. The probability of a defective calculator is 10 percent. If 10 calculators are selected at random, what is the probability that 3 or more of the calculators will be defective?

Twenty coins are tossed. What is the probability of getting exactly 10 heads?

For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the variance.

Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. If X = the number of arrivals per minute, find the expected value of X.

X has the following probability distribution P(X). Compute the expected value of X.

According to data from the state blood program, 40 percent of all individuals have group A blood. If six individuals give blood, find the probability that none of the individuals has group A blood.

A fair die is rolled 36 times. What is the standard deviation of the even number (2, 4, or 6) outcomes?

Consider the experiment of tossing a fair coin three times and observing the number of heads that result (X = number of heads). What is the variance for this distribution?

Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. Determine the expected number of customer arrivals for a five-minute period.

If n = 15 and p = .4, then the standard deviation of the binomial distribution is

Which of the following is not a discrete random variable?

In the most recent election, 19 percent of all eligible college students voted. If a random sample of 20 students were surveyed, find the probability that exactly half voted in the election.

Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. If X = the number of arrivals per minute, find the probability of more than 7 customers arriving within a minute.

The J.O. Supplies Company buys calculators from a non-U.S. supplier. The probability of a defective calculator is 10 percent. If 100 calculators are selected at random, what is the expected number of defectives?

The expected value of the discrete random variable x is the population mean.

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Probability and Probability Models

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

Exam 6: Discrete Random Variables

The yearly proportional return for stock G = x, the yearly proportional return for stock H = y, μx = .16, μy = .07, σx = .11, σy = .11, and σxy2 = .0321. Find the mean and standard deviation of the portfolio return: P = .45x + .55y.

For a random variable X, the mean value of the squared deviations of its values from their expected value is called its ________.

A random variable that is defined to be the total number of successes in n trials is a ________ random variable.

X has the following probability distribution. Compute the expected value of X.

The property of expected values says if a and b are constants, and if x and y are random variables, then μ (ax +by) = aμx + bμy + 2ab.

The J.O. Supplies Company buys calculators from a non-U.S. supplier. The probability of a defective calculator is 10 percent. If 10 calculators are selected at random, what is the probability that 3 or more of the calculators will be defective?

Twenty coins are tossed. What is the probability of getting exactly 10 heads?

For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the variance.

Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. If X = the number of arrivals per minute, find the expected value of X.

X has the following probability distribution P(X). Compute the expected value of X.

According to data from the state blood program, 40 percent of all individuals have group A blood. If six individuals give blood, find the probability that none of the individuals has group A blood.

A fair die is rolled 36 times. What is the standard deviation of the even number (2, 4, or 6) outcomes?

Consider the experiment of tossing a fair coin three times and observing the number of heads that result (X = number of heads). What is the variance for this distribution?

Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. Determine the expected number of customer arrivals for a five-minute period.

If n = 15 and p = .4, then the standard deviation of the binomial distribution is

Which of the following is not a discrete random variable?

In the most recent election, 19 percent of all eligible college students voted. If a random sample of 20 students were surveyed, find the probability that exactly half voted in the election.

Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. If X = the number of arrivals per minute, find the probability of more than 7 customers arriving within a minute.

The J.O. Supplies Company buys calculators from a non-U.S. supplier. The probability of a defective calculator is 10 percent. If 100 calculators are selected at random, what is the expected number of defectives?

The expected value of the discrete random variable x is the population mean.

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Probability and Probability Models

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

The yearly proportional return for stock G = x, the yearly proportional return for stock H = y, μ_x = .16, μ_y = .07, σ_x = .11, σ_y = .11, and σ_xy² = .0321. Find the mean and standard deviation of the portfolio return: P = .45x + .55y.

The property of expected values says if a and b are constants, and if x and y are random variables, then μ₍_ax₊_by₎ = aμ_x + bμ_y + 2ab.