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:
1
Step-by-step explanation:
It has 1 lines of symmetry
Hopes this helps
#ViolentJax
If we calculate the net take home pay and we assume the employer withheld federal income tax (wage-bracket, married, 2 <span>allowances), social security taxes, and state income tax (2%)
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Married at least $500 but not more than $510 $21
Social Security at 4.2% $21
State income tax at 2% $10
Total taxes: $52
Total net take-home pay: $598
76.
If the number after the decimal is below five, you round down. If the number is above five, you round up. 76 is your answer.