The probability that demand is greater than 1800 gallons over a 2 hour period is : 0.5
<u>Given data :</u>
Mean value of gasoline per hour = 875 gallons
Standard deviation = 55 gallons
<h3>Determine the probability of demand being greater than 1800 gallons over 2 hours </h3>
Demand for gas in 1 hour = X₁
Demand for gas in 2 hours = X₁ + X₂
Therefore ; ( X₁ + X₂) ~ N ( u₁+u₂, sd₁² + sd₂² )
In order to calculate probabilities for normals apply the equation below
Z = ( X- u ) / sd
where : u = 1800, sd = √ ( 55² + 55² ) = 77.78
using the z-table
P( Y > 1800) = P( Z > ( 1800 - 1800 ) / 77.78)
= P( Z>0 ) = 0.5
Hence we can conclude that The probability that demand is greater than 1800 gallons over a 2 hour period is : 0.5.
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Answer:
9.2%
Explanation:
expected return of the investment = potential return x chance of each return happening
Expected return of the investment:
- 20% chance of occurring x 30% potential return = 0.2 x 30% = 6%
- 50% chance of occurring x 10% potential return = 0.5 x 10% = 5%
- 30% chance of occurring x -6% potential return = 0.3 x -6% = -1.8%
- total expected return = 9.2%
Answer:
the remaining budget for other expenses = 1/8 of the total budget
Explanation:
Since the city's administrative personnel expenses are 1/8 larger than both maintenance expenses and safety expenses, it means that safety expenses are equal to maintenance expenses.
Since maintenance expenses are 1/4 of the total budget, safety expenses are also 1/4 of the total budget.
Administrative personnel expenses are 1/8 higher, so that means that they equal 1/4 + 1/8 of the total expenses.
If we add the three categories = 1/4 + 1/4 + (1/4 + 1/8) = 7/8
So the remaining budget for other expenses = 1 - 7/8 = 1/8 of the total budget
The results are inconclusive; Therefore a generalization cannot be made regarding which option is selected more often.
What is generalization and why is it important?
The ability to carry out a task, engage in an activity, or exhibit behavior in many contexts, with various people, and at various times is known as generalization. We have "generalized" the necessary skills, which explains why we can carry out routine tasks in a range of contexts and settings.
How can generalization be improved?
Using a network that is just big enough to achieve a good fit is one way to enhance network generalization. The ability of a network to perform more complicated functions increases with network size. The network won't have the strength to overfit the data if it is tiny enough.
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Answer:
a. Salary for the second year:
Salary is to increase by 4% in second year.
= 53,000 * (1 + 4%)
= $55,120
b. Third year salary:
Second year salary will increase by 5.5%
= 55,120 * (1 + 5.5%)
= $58,151.60
c. Fourth year salary:
Third year salary to increase by 11.1%
= 58,151.60 * (1 + 11.1%)
= $64,606.43
