Quiz

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School

University Of Arizona *

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Course

522

Subject

Industrial Engineering

Date

Jan 9, 2024

Type

docx

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Uploaded by BaronParrotMaster742

Quiz Note: It is recommended that you save your response as you complete each question. Question 1 (1 point) We’ve set up a motion sensitive camera to photograph Bengal Tiger’s. We seem to capture 4.5 Tigers per month. What is the probability that we capture our 1st tiger on film in the first Day? (Assume 30 Days/month) Question 1 options: 14% 22% 54% 68% Save Question 2 (1 point) Tossing a thumb tack has a 25% probability of landing point up on any one trial. What’s the probability of getting 5 out of 15 point up? Question 2 options: 0.148 55.5% 0.165 0.852

Save Question 3 (1 point) Given the following joint PDF for the amount of Cashers (X) and Almonds (Y) in a can of mixed nuts, what is f(Y), the marginal PDF for Y. Question 3 options: 24y(1-y) 12y(1-y) 24y(1-y)^2 12y(1-y)^2 Save Question 4 (1 point) The following scatter plot implies that X and Y are ...

Question 4 options: Positively Correlated Negatively Correlated Uncorrelated Save Question 5 (1 point) The following scatter plot implies that X and Y are ... Question 5 options: Positively Correlated Negatively Correlated Uncorrelated Save Question 6 (1 point) Switching to more cost-effective or flexible assets as new information is available is referred to as

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Question 6 options: scale-up options. study options. reduced scope options. downshitft options. Save Question 7 (1 point) If event A and event B are mutually exclusive, then P(A ∩ B)=P(A)P(B). Question 7 options: True False Save Question 8 (1 point) The number of Tornados observed in an area in a 1 year period is distributed…. Question 8 options: Geometric Binomial Hypergeometric

Negative Binomial Poisson Save Question 9 (1 point) Let A and B be two events. If A and B are independent, then which of the following expressions is true? Question 9 options: P(A U B) ≤ P(A) + P(B) P(A U B) = P(A) + P(B) P(A U B) ≥ P(A) + P(B) P(A) = P(B) = 0.5 Save Question 10 (1 point) Delaying a decision until more information or skill acquired is referred to as Question 10 options: scale-up options. study options. reduced scope options. downshitft options. Save

Question 11 (1 point) The following scatter plot implies that X and Y are ... Question 11 options: Positively Correlated Negatively Correlated Uncorrelated Save Question 12 (1 point) When two processes are independent, then you can be sure that they are uncorrelated. Question 12 options: True False Save Question 13 (1 point)

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A joint Gaussian tri-variate distribution with covariance matrix as shown below can be represented as a product of the three individual gaussian distributions. 10 5 2 5 4 1 2 1 7 Question 13 options: True False Save Question 14 (1 point) Estimating the probability of a team winning the super bowl is an example of _____________ probability Question 14 options: Objective Subjective Emperical Classical Save Question 15 (1 point)

The likelihood that you can interview exactly 5 people before finding one that is ADHD … Question 15 options: Geometric Binomial Hypergeometric Negative Binomial Poisson Save Question 16 (1 point) Let A and B form a partition on our sample space S, then which of the following are true? Question 16 options: A union B = S A intersection B = null set Both A & B are dependent All of the above Save Question 17 (1 point)

When two processes are uncorrelated , then you can be sure that they are independent. Question 17 options: True False Save Question 18 (1 point) Using cost effective sequential increases in investment as a market grows is referred to as Question 18 options: scale-up options. study options. reduced scope options. downshitft options. Save Question 19 (1 point) Let A and B be two events. If A and B are mutually exclusive, then which of the following expressions is true? Question 19 options:

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P(A U B) < P(A) + P(B) P(A U B) = P(A) + P(B) P(A U B) > P(A) + P(B) P(A) = P(B) = 0.5 Save Question 20 (1 point) A joint Gaussian is made up of three random variables, X1, X2, and X3, with the mean vector and covariance shown below. Which of the following are true: 2 mu_Bar = 4 6 1000 C = 0 90 0 012 Question 20 options: X1, X2, and X3 are uncorrelated The covariance of X1 to X2, and X2 to X3 is 0 X1, X2, and X3 are independent Both A and B All of the above

Save Question 21 (1 point) A joint Gaussian is made up of three random variables, X1, X2, and X3, with the mean vector and covariance shown below. Which of the following are true: 2 mu_Bar = 4 6 1001 C = 0 90 1 012 Question 21 options: X1, X2, and X3 are uncorrelated The covariance of X1 to X2, and X2 to X3 is 0 X1, X2, and X3 are independent Both A and B All of the above Save Question 22 (1 point) If event A and event B are independent, then P(A ∩ B)=P(A)P(B). Question 22 options:

True False Save Question 23 (1 point) The likelihood that two years will go by without a tornado in the same area is distributed…. Question 23 options: Geometric Binomial Hypergeometric Negative Binomial Poisson Exponential Normal Uniform Save Question 24 (2 points)

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Bob can go to work by one of four modes of transportation: 1.) bicycle, 2.) car, 3.) bus and 4.) train. If he takes his bicycle, Bob has a 25% chance of getting to work on time. Because of heavy traffic, there is a 43% chance of being late if he takes his car. If he goes by bus, which has special reserve lanes to help keep schedule, but can be over crowded forcing him to wait for the next bus, he has a 15% chance of being late. The train runs on a very specific schedule, so there is only 5% probability of being late if he decides to take the train. Suppose that Bob is late and his boss see's Bob coming in late. His boss tries to estimate the probability Bob took his car in. Not knowing Bob's travel habbits, what does the boss estimate Bob's probability of taking the car given that he was late. Question 24 options: 0.29 0.39 0.49 0.59 Save Question 25 (2 points) Given the following joint PDF for deductibles on Automobile and Home Owner’s insurance, what is the Correlation? Y = p(x,y) 0 100 200 X = 100 0.20 0.10 0.20 250 0.05 0.15 0.30 Question 25 options: 1.301 0.301

0 -0.301 -1.301 Save Question 26 (2 points) You are responsible for laptop marketing in a technology company that sells multiple products including laptops, tablets, and smart phones. You suspect that tablet, and maybe even smart phone sales are cannibalizing laptop sales. You were able to recover historical pricing information of tablets and smart phone and you’ve tabulated that data next to your promotion data as indicated in the Exam 2 Support file. Given an Advertising Budget of $490,000, a Laptop Price of $920, a competitor’s price of $912, a tablet price of $650, and a smart phone price of $305. (Show graph or table.) Given your CDF, what is the expected value of the projected laptop sales? Question 26 options: $26.2M $26.8M $27.1M $28.3M $29.7M Save

Question 27 (2 points) You are offered a call option based on a stock that is currently priced at $111. The option has an exercise price of $120 and expires in 1 year. The underlying stock can be modeled using Black-Scholes (as shown in Exam 2 Support File) with a risk free growth rate of 6% and volatility of 0.3. What is the probability that the option expires out of the money? (ie. with zero value) Question 27 options: 42% 48% 52% 58% Save

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