Split up the interval [0, 3] into 3 equally spaced subintervals of length . So we have the partition
[0, 1] U [1, 2] U [2, 3]
The left endpoint of the -th subinterval is
where .
Then the area is given by the definite integral and approximated by the left-hand Riemann sum
Answer:
And the deviation would be:
Step-by-step explanation:
For this case we have the following distribution given:
X 0 1 2 3 4 5 6
P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02
For this case we need to find first the expected value given by:
And replacing we got:
Now we can find the second moment given by:
And replacing we got:
And the variance would be given by:
And the deviation would be: