Answer:
It takes less time sending 5 letters the traditional way with a probability of 36.7%.
Step-by-step explanation:
First we must take into account that:
- The traditional method is distributed X ~ Poisson(L = 1)
- The new method is distributed X ~ Poisson(L = 5)

Where L is the intensity in which the events happen in a time unit and x is the number of events.
To solve the problem we must calculate the probability of events (to send 5 letters) in a unit of time for both methods, so:
- For the traditional method:

- For the new method:

According to this calculations we have a higher probability of sending 5 letters with the traditional method in a unit of time, that is 36.7%. Whereas sending 5 letters with the new method is less probable in a unit of time. In other words, we have more events per unit of time with the traditional method.
Answer: Answer
Step-by-step explanation: What do you mean by simplify?
Answer:
First Answer:
$15,060.
Second Answer:
9.96 miles.
Third Answer:
$3.27.
Step-by-step explanation:
First Question:
Cost of the rented car = 50 + 0.20 = $50.20
How much did Matt's family spend for the car:
1 mile = $50.20
300 miles = ?
300 × 50.20
= $15,060.
Second Question:
If Hayden spent $500 for her rented car, how many miles did she drive:
$50.20 = 1 mile
$500 = ?
500 ÷ 50.20 = 9.96 miles.
Third Question:
What is the cost per gallon of gas:
24 gallons = $78.48
1 gallon = ?
78.48 ÷ 24 = $3.27.
The answer is e because the volume is 54 pi mm^3. This is because the volume of a cylinder is pi * r^2 * h.