One of the two hypotheses is to be chosen based on an observation of the random variable x. if h0 is true, then x is exponentially distributed with parameter m = 5. if h1 is true, then x is uniformly distributed on the interval [0,1]. (a) find the likelihood ratio k(x) for 0 # x 1 3. (b) for what values of the observation x (for 0 < x 1 3) does the maximum likelihood decision rule declare that h1 is true? (c) find the conditional probability of a false alarm, given that h0 is true. (d) find the conditional probability of a miss, given that h1 is true.

What value of x will make the triangles similar by the sss similarity theorem?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Hannah paid $3.20 for 16 ounces of potato chips. hank paid $3.23 for 17 ounces of potato chips. who paid less per ounces?