Continuous random variables X and Y have joint density function f(x, y) = 0 ≤ y ≤ 1. Calculate E[X] = E[Y] = E[4X+2] = E[X +5Y+5] = 1/72 (2²+ (x² + xy), 0≤x≤ 1,

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On average, 2 traffic accidents per month occur at a certain intersection. Complete parts (a) through (c) below. Click here to view the table of Poisson probability sums. www. (a) What is the probability that exactly 4 accidents will occur in any given month at this intersection? The probability that exactly 4 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.) (b) What is the probability that fewer than 3 accidents will occur in any given month at this intersection? The probability that fewer than 3 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.) (c) What is the probability that at least 6 accidents will occur in any given month at this intersection? The probability that at least 6 accidents will occur in any given month at this intersection is (Round to four decimal places as needed)

Cal 3 question