Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.0 , x<0f(x) = ((x^2)/4) , 0 <= x <= 21 , 2<= xUse the cdf to obtain the following. (If necessary, round your answer to four decimal places.)(a) P(X %u2264 1)(b) P(0.5 %u2264 X %u2264 1)(c) P(X > 1.5)(d) The median checkout duration [solve 0.5 = F(mew)](e) Use F'(x) to obtain the density function f(x)(f) Calculate E(X)(g) Calculate V(X) and %u03C3x(h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge E[h(X)].

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya

perimeter = 10 +  √10  units

explanation:

first, we will need to get the length of each line using the distance formula which is as follows:

distance = 

1- length of ab:

ab =   = 5 units

2- length of ac

length of ac is the same as ab = 5 units

3- length of bc:

bc =   =  √10  units

now, we can get the perimeter by adding the side lengths as follows:

perimeter = 5 + 5 +  √10

perimeter = 10 +  √10  units

hope this : )

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(53.5 - 18.4) m.

step-by-step explanation:

after undergoing a displacement of 18.4m, the initial position was (53.5 - 18.4) m if an object has a final position of 53.5.