Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. F(x) = 0 if x < 0; x^2/25 if 0 <= x < 5; and 1 if x >= 5. Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 4). (b) Calculate P(3.5 ≤ X ≤ 4). (c) Calculate P(X > 4.5).

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Q: If Var[x]=0.4, what is Var[2x+1] = ?

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Q: 0.18x + 0.22(700,000 – x) = 0.20(700,000) %3D

A: NOTE: Refresh your page if you can't see any equations. .

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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.