Question The moisture content of batches of a chemical substance is measured on

Question

Question The moisture content of batches of a chemical substance is measured on a scale from 1 to 3, while the impurity level is recorded as either low (1) or high (2). Let X and Y denote the moisture content and the impurity level of a randomly selected batch, respectively. Use the information given in the table to answer parts (a)–(d).

B.) Tabulate the joint PMF of X and Y

C. ) What is the probability that the next batch recieved will have a low impurity level?

D. ) Suppose the next batch has a low impurity level. What is the probability that the level of its moisture content is 1?

Explanation / Answer

E(Y / X =1) = 0.66*1 + 0.34*2 = 1.34

Var(Y/x=1) = 0.66*1^2 + 0.34*2^2 - 1.34^2 = 0.2244

for the other question please post it in a new question

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