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The owner of a fish market determined that the mean weight for a catfish is 3.2 pounds assuming that the weight of a catfish follows a normal distribution and its standard deviation is unknown. He also knew that that probability of a randomly selected catfish that would weigh more than 3.8 pounds is 20% and the probability that a randomly selected catfish that would weigh less than 2.8 pounds is 30%. What is the probability that a randomly selected catfish...
One out of four investors have ETFs in their portfolios. Consider a sample of twenty investors. [Hint: why is it that the random variable X∼Bi(n, p)?]a. Compute the probability that exactly 2 investors have ETFs in their portfolios. .
Joe has applied to two different universities.The acceptancerate for university A is 25% the acceptance rate for university Bis 40% What is the probability thatJoe will be accepted by atleast one of these two universities?
(All answers were generated using 1,000 trials and native Excel functionality.)The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows: ProcurementCost ($)ProbabilityLaborCost ($)ProbabilityTransportationCost ($)Probability100.25200.1030.75110.45220.2550.25120.30240.35250.30 (a)Construct a simulation model to estimate the average profit per unit. What is a 95% confidence interval around this average?Round...
(All answers were generated using 1,000 trials and native Excel functionality.)In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $34 per doll. During the holiday selling season, FTC will sell the dolls for $42 each. If FTC overproduces the dolls, the excess dolls will be...
(All answers were generated using 1,000 trials and native Excel functionality.)In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $34 per doll. During the holiday selling season, FTC will sell the dolls for $42 each. If FTC overproduces the dolls, the excess dolls will be...
A manufacturer makes two products. The manufacturing plant has a capacity to produce a total of 100 units per week, in any combination of these two products i.e. It can make X units of product A and 100-X units of product B (whereas, value of X can be from 0 to 100). It costs $20 per unit to make product A, and it sells for $30. Whatever amount of Product A is made, it is sold immediately. Product B costs...