DI D2 D3 D4 D5 59920 Question 2: Discrete random variables (30 Points) 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: D1 D1+ D2 + D3 + D4 D2 D1+ D2 + D3 + D4 D3 p(y) = 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)
DI D2 D3 D4 D5 59920 Question 2: Discrete random variables (30 Points) 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: D1 D1+ D2 + D3 + D4 D2 D1+ D2 + D3 + D4 D3 p(y) = 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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