A factory has in stock 300 kg of a certain material, which is sold to the customers in 10 kg batches. Let Y= the number of batches ordered by a randomly selected customer. Suppose that the probability mass function of Y is: p(y) = D1 D1+ D2 + D3 + D4 D2 D1+ D2 + D3 + D4 D3 D1+ D2 + D3 + D4 D4 D1+ D2 + D3 + D4 0 y = 1 b) Calculate the variance and standard deviation of Y. y = 2 y=3 y = 4 otherwise a) Find the expected number of batches ordered by a randomly selected customer. c) Calculate the expected weight left after the next customer's order is shipped, the variance of the weight left and the standard deviation. (The number of kg left is a linear function of Y)

A factory has in stock 300 kg of a certain material, which is sold to the customers in 10 kg batches. Let Y= the number of batches ordered by a randomly selected customer. Suppose that the probability mass function of Y is: p(y) = D1 D1+ D2 + D3 + D4 D2 D1+ D2 + D3 + D4 D3 D1+ D2 + D3 + D4 D4 D1+ D2 + D3 + D4 0 y = 1 b) Calculate the variance and standard deviation of Y. y = 2 y=3 y = 4 otherwise a) Find the expected number of batches ordered by a randomly selected customer. c) Calculate the expected weight left after the next customer's order is shipped, the variance of the weight left and the standard deviation. (The number of kg left is a linear function of Y)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...

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