(1 point)\nSuppose you choose a real number x from the interval 4,18 with the density function\nf(x)=Cx\nwhere C is a constant.\na) Find C. Remember that if you integrate a density function over the entire sample space interval, you should get 1.\nb) Find P(E), where E=[a,b] is a subinterval of 4,18.\n(as a function of a and b ).\nc) Find P(x>5)\nd) Find P(x<14)\ne) Find P(x^(2)-19x+70>=0)
(1 point) Suppose you choose a real number X from the interval[4,18] with the density function f=Cx
where Cis a constant
a) Find C.Remember that if you integrate a density function over the entire sample space interval, you should get 1
b)Find PE),where E=[,b] is a subinterval of [4,18] (as a function of and b)
c) Find P(X>5)
dFind P(X<14)
e) Find P(X2 -19X+70> 0)
