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.

step-by-step explanation:

6.48/4 4 goes into 6.48 1.62 times

answer: plz give a pic and answer choices so i can answer!

step-by-step explanation:

d. you cannot tell because there are no values shown.

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.