Define total compensation
1 answer:
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C and D
the volume ( V) of a pyramid is found using the formula
V = × area of base × height
calculating each of the volumes gives
(A) V = × 10.5 × 6 = 21 in³
(B) V = × 3.6 × 8 = 9.6 in³
(C) V = × 4.2 × 12 = 16,8 in³
(D) V = × 6 × 8.4 = 16.8 in³
C and D have equal volumes
Answer:
a) P ( 3 ≤X≤ 5 ) = 0.02619
b) E(X) = 1
Step-by-step explanation:
Given:
- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:
Find:
a.Calculate the probability that 3 ≤X≤ 5
b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that
Solution:
- The CDF gives the probability of (X < x) for any value of x. So to compute the P ( 3 ≤X≤ 5 ) we will set the limits.
- The Expected Value can be determined by sum to infinity of CDF:
E(X) = Σ ( 1 - F(X) )
E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]
E(X) = 1