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
Answer:
See below
Step-by-step explanation:
When you make purchases with a debit card, you are borrowing funds from your own bank account. When you make purchases with a credit card, you are borrowing funds from the bank, typically to pay it back to the bank later.
Answer:
11
Step-by-step explanation:
C(4) = -7 + 6(4-1)
C(4) = -7 + 6 x 3 =
C(4) = -7 + 18
C(4) = 11
Hope that helps!