hodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y denote the number of cars and buses, respectively, carried on a single trip. The joint pmf of X and Y is given in the table below. y p(x, y) 0 1 2 0 0.100 0.060 0.040 1 0.050 0.030 0.020 2 0.125 0.075 0.050 3 0.025 0.015 0.010 4 0.050 0.030 0.020 5 0.150 0.090 0.060 X It is readily verified that X and Y are independent. (a) Compute the expected value, variance, and standard deviation of the total number of vehicles on a single trip. (Round your standard deviation to two decimal places.) expected value 3.35 ✔vehicles 11.75 X 2.06 variance standard deviation (b) If each car is charged $3 and each bus $10, compute the expected value (in $), variance, and standard deviation (in $) of the revenue resulting from a single trip. (Round your standard deviation to two decimal places.) expected value $14.95 variance standard deviation ✔vehicles $ x
hodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y denote the number of cars and buses, respectively, carried on a single trip. The joint pmf of X and Y is given in the table below. y p(x, y) 0 1 2 0 0.100 0.060 0.040 1 0.050 0.030 0.020 2 0.125 0.075 0.050 3 0.025 0.015 0.010 4 0.050 0.030 0.020 5 0.150 0.090 0.060 X It is readily verified that X and Y are independent. (a) Compute the expected value, variance, and standard deviation of the total number of vehicles on a single trip. (Round your standard deviation to two decimal places.) expected value 3.35 ✔vehicles 11.75 X 2.06 variance standard deviation (b) If each car is charged $3 and each bus $10, compute the expected value (in $), variance, and standard deviation (in $) of the revenue resulting from a single trip. (Round your standard deviation to two decimal places.) expected value $14.95 variance standard deviation ✔vehicles $ x
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Can you help me with this? I don’t know why but I keep getting the Variance for part A and B wrong
![Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let \( X \) and \( Y \) denote the number of cars and buses, respectively, carried on a single trip. The joint probability mass function (pmf) of \( X \) and \( Y \) is given in the table below.
| \( p(x, y) \) | \( y = 0 \) | \( y = 1 \) | \( y = 2 \) |
|---------------|------------|------------|------------|
| \( x = 0 \) | 0.100 | 0.060 | 0.040 |
| \( x = 1 \) | 0.050 | 0.030 | 0.020 |
| \( x = 2 \) | 0.125 | 0.075 | 0.050 |
| \( x = 3 \) | 0.025 | 0.015 | 0.010 |
| \( x = 4 \) | 0.025 | 0.015 | 0.010 |
| \( x = 5 \) | 0.150 | 0.090 | 0.060 |
It is readily verified that \( X \) and \( Y \) are independent.
**(a) Compute the expected value, variance, and standard deviation of the total number of vehicles on a single trip.** (Round your standard deviation to two decimal places.)
- **Expected value:** 3.35 vehicles
- **Variance:** 11.75
- **Standard deviation:** 2.06 vehicles
**(b) If each car is charged $3 and each bus $10, compute the expected value (in $), variance, and standard deviation (in $) of the revenue resulting from a single trip.** (Round your standard deviation to two decimal places.)
- **Expected value:** $14.95
- **Variance:** [Incorrect value entered]
- **Standard deviation:** [Incorrect value entered]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78de2526-b393-406f-b144-213aa508c7e8%2F9ce0c0ee-c4e1-44aa-aae3-875f8b9b597b%2Fej7l3d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let \( X \) and \( Y \) denote the number of cars and buses, respectively, carried on a single trip. The joint probability mass function (pmf) of \( X \) and \( Y \) is given in the table below.
| \( p(x, y) \) | \( y = 0 \) | \( y = 1 \) | \( y = 2 \) |
|---------------|------------|------------|------------|
| \( x = 0 \) | 0.100 | 0.060 | 0.040 |
| \( x = 1 \) | 0.050 | 0.030 | 0.020 |
| \( x = 2 \) | 0.125 | 0.075 | 0.050 |
| \( x = 3 \) | 0.025 | 0.015 | 0.010 |
| \( x = 4 \) | 0.025 | 0.015 | 0.010 |
| \( x = 5 \) | 0.150 | 0.090 | 0.060 |
It is readily verified that \( X \) and \( Y \) are independent.
**(a) Compute the expected value, variance, and standard deviation of the total number of vehicles on a single trip.** (Round your standard deviation to two decimal places.)
- **Expected value:** 3.35 vehicles
- **Variance:** 11.75
- **Standard deviation:** 2.06 vehicles
**(b) If each car is charged $3 and each bus $10, compute the expected value (in $), variance, and standard deviation (in $) of the revenue resulting from a single trip.** (Round your standard deviation to two decimal places.)
- **Expected value:** $14.95
- **Variance:** [Incorrect value entered]
- **Standard deviation:** [Incorrect value entered]
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