The number of people in a car that crosses a certain bridge is a random variable x. The toll on the bridge is 2 dollars per car plus 20 cents per person in the car. An expression for the amount of money that is collected from a car that crosses the bridge is: The number of people in a car that crosses the bridge has a mean value of 1.9 and variance of 0.9. The toll on the bridge is $2 per car plus 20 cents per person in the car. What is the mean of the amount of money that is collected from a car that crosses the bridge? What is the variance of the amount of money that is collected from a car that crosses the bridge? What is the standard deviation of the amount of money that is collected from a car that crosses the bridge?
The number of people in a car that crosses a certain bridge is a random variable x. The toll on the bridge is 2 dollars per car plus 20 cents per person in the car. An expression for the amount of money that is collected from a car that crosses the bridge is: The number of people in a car that crosses the bridge has a mean value of 1.9 and variance of 0.9. The toll on the bridge is $2 per car plus 20 cents per person in the car. What is the mean of the amount of money that is collected from a car that crosses the bridge? What is the variance of the amount of money that is collected from a car that crosses the bridge? What is the standard deviation of the amount of money that is collected from a car that crosses the bridge?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![**Bridge Toll Scenario:**
The number of people in a car that crosses a certain bridge is a random variable \( x \). The toll on the bridge is $2 dollars per car plus 20 cents per person in the car.
**1. Expression for the Toll:**
An expression for the amount of money that is collected from a car that crosses the bridge is:
\[ Toll = 2 + 0.2x \]
**2. Given Statistical Data:**
The number of people in a car that crosses the bridge has a mean value of 1.9 and a variance of 0.9. The toll on the bridge is $2 per car plus 20 cents per person in the car.
**3. Calculations:**
- **Mean of the Amount Collected:**
What is the mean of the amount of money that is collected from a car that crosses the bridge?
\[ Mean\ of\ Toll = 2 + 0.2 \times 1.9 \]
- **Variance of the Amount Collected:**
What is the variance of the amount of money that is collected from a car that crosses the bridge?
\[ Variance\ of\ Toll = (0.2)^2 \times 0.9 \]
- **Standard Deviation of the Amount Collected:**
What is the standard deviation of the amount of money that is collected from a car that crosses the bridge?
\[ Standard\ Deviation\ of\ Toll = \sqrt{Variance\ of\ Toll} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F020b4ff6-36e2-475f-88e0-c8be863ccb7d%2F0f1f98f5-a99c-4fa4-b98f-5cf57f560694%2Frv72be8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Bridge Toll Scenario:**
The number of people in a car that crosses a certain bridge is a random variable \( x \). The toll on the bridge is $2 dollars per car plus 20 cents per person in the car.
**1. Expression for the Toll:**
An expression for the amount of money that is collected from a car that crosses the bridge is:
\[ Toll = 2 + 0.2x \]
**2. Given Statistical Data:**
The number of people in a car that crosses the bridge has a mean value of 1.9 and a variance of 0.9. The toll on the bridge is $2 per car plus 20 cents per person in the car.
**3. Calculations:**
- **Mean of the Amount Collected:**
What is the mean of the amount of money that is collected from a car that crosses the bridge?
\[ Mean\ of\ Toll = 2 + 0.2 \times 1.9 \]
- **Variance of the Amount Collected:**
What is the variance of the amount of money that is collected from a car that crosses the bridge?
\[ Variance\ of\ Toll = (0.2)^2 \times 0.9 \]
- **Standard Deviation of the Amount Collected:**
What is the standard deviation of the amount of money that is collected from a car that crosses the bridge?
\[ Standard\ Deviation\ of\ Toll = \sqrt{Variance\ of\ Toll} \]
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