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recitation hours problem solving of joint probability
Typology: Exercises
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1. Test two integrated circuits one after the other. On each test, the possible outcomes are a, (accept) and r (reject). Assume that all circuits are acceptable with probability
b) Find the marginal PMFs for the random variables X and Y. 2. Random variables X and Y have joint a) Find the constant c and P [A] = P[2 < X < 3, 1 < Y < 3]. b) What is P [A] = P[Y > X]?
3. The joint probability density function of random variables X and ·Y is Find the constant c. What is the probability of the event A = X^2 + Y^2 < 1? 4. The joint PDF of X and ·Y is Find the marginal PDFs f x(x) and f y(y). 5. The joint density for the random variables (X, Y ), where X is the unit temperature change and Y is the proportion of spectrum shift that a certain atomic particle produces, is
(b) Find the probability that the spectrum shifts more than half of the total observations, given that the temperature is increased by 0.25 unit.