An assembly line has 17 machines and the number of machines X which fails to work is modeled by the binomial distribution with parameter p > 0: P(X= k) = ·(17) p² (1- 17-k (px (12), fy|x (0.49 | 12)) = 0.0556,0.7363 ³, k = 0, 1, ..., 17. However, the parameter p can not be estimated exactly and turns out to be from a random variable Y which has a uniform distribution on the interval (0, 1). 1. Find the unconditioned PMF px of X and evaluate P(X = 12). Hint: n-k [² (7) p² (1 − p)*-* dp = --P) 1 (n+1) 2. Given X = k, find the conditional PDF fyx (y k) and evaluate fyx (0.49 | 12)).

I'm trying to answer question number 3. The correct answer is b. 10.91. But when I'm computing, I'm getting 22.22. Please tell me what I'm doing wrong? Thanks.

Order the following decimals from greatest to least. 3.787, 3.787, 3.78, 3.787, 3.787 Choose the correct answer below. O A. 3.787> 3.787 > 3.787> 3.787 = 3.78 O B. 3.78> 3.787 > 3.787> 3.787 > 3.787 OC. 3.787> 3.787 > 3.78> 3.787 > 3.787 O D. 3.787> 3.787 > 3.787> 3.787 > 3.78 O E. 3.78 =3.787 > 3.787> 3.787> 3.787

Evaluate: 13−108+613−108+6 (Correct to 2 significant decimal figures) a. -0.04 b. 1.50 c. 11.50 d. 0.21 e. 1.64