Question: With the probabilities as given (as in Section 7.1, Exercise 33). Recall the cells in Section 6.4, Exercises 31 and 32. New cells stain properly

With the probabilities as given (as in Section 7.1, Exercise 33).
Recall the cells in Section 6.4, Exercises 31 and 32. New cells stain properly with probability 0.95, 1-day-old cells stain properly with probability 0.9, 2-day-old cells stain properly with probability 0.8, and 3-day-old cells stain properly with probability 0.5. Suppose
Pr(cell is 0 days old) = 0.4
Pr(cell is 1 day old) = 0.3
Pr(cell is 2 days old) = 0.2
Pr(cell is 3 days old) = 0.1.
Using the random variables A for age and S for staining, find the covariance in the following cases. Explain why the covariance is positive or negative.

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