After a big snow storm, Joe and Jim decided to shovel driveways for money. Jim shoveled 3 less than twice as many driveways as J
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Answer:
The expected value of lateness hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:
Compute the expected value of lateness as follows:
Thus, the expected value of lateness hours.
Answer:
See Below.
Step-by-step explanation:
We want to estimate the definite integral:
Using the Trapezoidal Rule, Midpoint Rule, and Simpson's Rule with six equal subdivisions.
1)
The trapezoidal rule is given by:
Our limits of integration are from x = 1 to x = 4. With six equal subdivisions, each subdivision will measure:
Therefore, the trapezoidal approximation is:
Evaluate:
2)
The midpoint rule is given by:
Thus:
Simplify:
3)
Simpson's Rule is given by:
So:
Simplify: