The actual tracking weight of a stereo cartridge that is set to track at 2.0 g on a particular changer can be regarded as a continuous rv X with the following pdf:. (x)={k[1−(x−3)^2] 2 ≤ x ≤ 4
0 otherwise
a. Find the value of k.
b. Sketch the graph of f(x).
c. What is the probability that the actual tracking weight is greater than the prescribed weigh?
d. What is the probability that the actual weight is within 0.25 g of the prescribed weight?
e. What is the probability that the actual weight differs from the presented weight by more than 0.5 g?

part 1 answer = 8

part 2 answer = 72

step-by-step explanation:

part 1 explanation = add all of the numbers, then divide by how many numbers you have. so, 200/25 = 8.

part 2 explanation = not gonna lie, this is hard to explain, so just google how to do it.

step-by-step explanation: yes

468

step-by-step explanation:

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew