# Answer to Question #45889 in Statistics and Probability for anu

Question #45889

Let X denote the temperature ( ) and let Y denote the time in minutes that it takes for the diesel engine on an automobile to get ready to start. Assume that the joint density function is

f(x, y) =c (4x+2y+1) , . i) Find c, ii) Find the marginal densities for X and Y, iii) Find the probability that on a randomly selected day the air air temperature will exceed

iv) Are X and Y independent?

f(x, y) =c (4x+2y+1) , . i) Find c, ii) Find the marginal densities for X and Y, iii) Find the probability that on a randomly selected day the air air temperature will exceed

iv) Are X and Y independent?

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