quality engineer at a manufacturing company is keeping track

quality engineer at a manufacturing company is keeping track of the number of parts that are produced during first 3 A during frst and second shift that do not fall within the required tolerance bounds. Let X the number of parts out of the tolerance bounds from first shift and let the number of parts out of the tolerance bounds from the second shift. A joint probability table is given below 10 10 a. Find the marginal distribution for X. (8 points b. Find the marginal distribution for Y. (8 points) c. Find P(Y-21X-0). (7 points) d. Are Xand Y independent? Why or why not? (6 points)

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