An automobile insurance policy reimburses a family's accident losses up to a maximum of two accidents per year. For a (high-risk) three-person family, let X, Y, and Z denote the number of accidents in a single year for the three people in the family. Assume the joint PMF of X, Y, Z is Pxy.z(x, y, z) = c(x+ 2y+ z) for x = 0,1; y, z = 0,1,2 and it is zero otherwise. - Determine expected value of the total number of accidents for this family in a single year.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.