Let X and Y has joint probability density function AX, Y) = 11 ^2 e-^, * - A,y ,0
Q: Please show step by step answer and calculate everything and make the graphic also.
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- Suppose that the amount of time a hospital patient must wait for a nurse's help is described by a continuous random variable with density function f(t) = e-t/3 where t≥ 0 is measured in minutes. (a) What is the probability that a patient must wait for more than 4 minutes? (b) A patient spends a week in the hospital and requests nurse assistance once each day. What is the probability that the nurse will take longer than 5 minutes to respond on (exactly) two occasions? (c) What is the probability that on at least one call out of seven, the nurse will take longer than 7 minutes to respond?the proportion of spectrum shift that a certain atomic particle produces is The joint density for the random variable (X,Y), where X is the unit temperature change and Y is f(x) = 2 100 xy² 0please solve it on paperThe (continuous) random variable X has pdf f(x)=(x-80)/2500 * e^[-(x-80)/50] for x>80 and 0 otherwise. Find the mode. Give an exact answer.Let X be a uniform random variable on the interval (-3,3) and let Y = X^2 A) find E(Y). B) find the probability density function of YLet the random variable X have'the marginal density 1 f, (x)= 1, 1SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON