MA C4-1 Anti derivative matching activity
Probability Density Function ExamplesSuppose you choose a real number X from the interval [2, 10] with a Probability Density Function f(x)=Cx.Find C. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Find P(E), where E = [a, b] is a subinterval of [2, 10]. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Find P(X > 5)____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Find P(X < 7)_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________Find PX2-12X+35>0____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Suppose you choose a real number X from the interval [2, 10] with a Probability Density Function f(x)=Cx .Find C. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Find P(E), where E = [a, b] is a subinterval of [2, 10]. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Find P(X > 5)____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Find P(X < 7)____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Find P(X2-12X+35>0)____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Suppose you choose a real number X from the interval [0, 10] with a Probability Density Function f(x)=Cx(x-10).Find C. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________By finding the maximum value of the PDF, calculate the mode of this distribution. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ................
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