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TASK In Exercises 7-10. use the spinner to find the probability. The spinner is divided into equal parts. 1. What is the probability that the spinner stops on a multiple of 3? 2. What are the odds in favor of stopping on a multiple of 4? 3. What are the odds against stopping on a […]
Machine Learning Problem 1: Naive Bayes Classifiers (20 pts) Consider the binary classification problem where class label Y E {0, 1} and each training example X has 2 binary attributes X = [X1, X2] E {0,1}2. Assume that class priors are given P(Y = 0) = P(Y = 1) = 0.5, and that the conditional […]
Probability is about assessing the chance of something happening while risk is the decision to interact with that uncertainty. We make risky decisions every day based on quick and often intuitive assessments of the probability of negative consequences. Share a decision you made in the last 2 weeks that involved considering the probability of something […]
STATISTICS An insurance company has an initial surplus of 100 and premium loading factor of 20%. Assume that claims arrive according to a Poisson process with parameter A = 5 and the size of claims Xi are iid random variables with Xi ,-,, exp( 1-0). The time unit is 1 week. Assume that 1 month […]
ENGINEERING The warehouse capacity of a given product is of 3 items at most. The daily demand for this product is given by the following probability distribution: p(0) = 0.3; p(1) 0.25, p(2)1.25, p(3+)=0.2, where 3+ means 3 or more. When the remaining items at the end of a day are less than 2, an […]
Probability Question *a. Let X be a Bernoulli random variable with P(X = 0) = I — p, P(X = I)= p. Let Y = I — X and Z = XY. (a) (5 points) Fuld P(X = x, Y = y) for x, y, e (0, (b) points) Find P(X = x,Z = z) […]
According to a Pew Research Center nationwide telephone survey of American adults conducted by phone between March 15 and April 24, 2011, 25% of American college graduates said that their student loans make it harder for them to buy a home (Time, May 30, 2011). Suppose that this result is true for the current population […]
Probability (10 points) Question #1. Consider a random experiment where two fair six-sided dice are thrown. (a) (5 points) Define the sample space of this experiment. How many outcomes are possible? (b) (5 points) Show all the outcomes in the event ”the sum of both dice is 6”. What is the probability of this outcome? […]
What are the 4 characteristics of a binomial experiment? Can we use a binomial distribution to model this process? What is the probability that the entire batch unnecessarily has to be tested if in fact 95% of its laptops conform to specifications? (Hint: Use Excels =BINOMDIST() function to find the probability) What is the probability […]
Assignment Questions: (Marks: 15) A company had cash and marketable securities worth $200,000 accounts payables worth $51,000, inventory of $1,501,500, accounts receivables of $5,288,128, short-term notes payable worth $220,000, other current liabilities of 100,000, and other current assets of $121,800. Calculate the company net working capital and describe how managers manage the firm working capital. […]
