Let Î be a Bernoulli random variable that indicates which one of two hypotheses is true, and let P(Î = 1) = p. Under the hypothesis Î = 0, the random variable X is uniformly distributed over the interval [0,1]. Under the alternative hypothesis Î = 1, the PDF of X is given by fX| Î(x|1) = 2x if 0<=x<=1 and 0 otherwise. Consider the MAP rule for deciding between the two hypotheses, given that X=x. Find the probability of error associated with the MAP rule as a function of p.

i just took the test, the correct answer is .. 31.5 in.

answer: finding the extract measurements and knowing the points

step-by-step explanation:

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

if you was gonna solve for a, a is a   < -12