Assume that X is a random variable. X will denote the number of days to deliver the product(s).
x |
P(x) |
0 |
0 |
1 |
0 |
2 |
.01 |
3 |
.04 |
4 |
.28 |
5 |
.42 |
6 |
.21 |
7 |
.02 |
8 |
.02 |
x |
P(X ≤ x) |
0 |
|
1 |
|
2 |
|
3 |
|
4 |
|
5 |
|
6 |
|
7 |
|
8 |
b. What is the expected number of days for a delivery? Calculate the expected value.
c. Calculate the variance of the probability distribution and standard deviation?
b.
Expected value =(ΣXi)/N
=36/9
=4 days
c.
Variance ={ [(ΣXi)^2]/n} -[ΣXi/n]^2
=(204/9) - (4)^2
=22.6667 - 16
=6.6667
Standard deviation = (var)^1/2
=(6.6667)^1/2
=2.582
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