Question

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. Suppose the joint distribution of
*X* and *Y* is as given in the table below.

y |
||||

p(x,y) |
0 | 1 | 2 | |

x |
0 | 0.025 | 0.015 | 0.010 |

1 | 0.050 | 0.030 | 0.020 | |

2 | 0.085 | 0.075 | 0.050 | |

3 | 0.150 | 0.090 | 0.060 | |

4 | 0.100 | 0.060 | 0.040 | |

5 | 0.050 | 0.030 | 0.060 |

Compute the expected revenue from a single trip. (Round your
answer to two decimal places.)

$

Answer #1

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. Suppose the joint distribution of
X and Y is as given in the table below.
y
p(x,y)
0
1
2
x
0
0.025
0.015
0.010
1
0.050
0.030
0.020
2
0.105
0.075
0.050
3
0.150
0.090...

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. Suppose the joint distribution of
X and Y is as given in the table below.
y
p(x,y)
0
1
2
x
0
0.025
0.015
0.010
1
0.050
0.030
0.020
2
0.105
0.075
0.050
3
0.150
0.090...

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. Suppose the joint distribution of
X and Y is as given in the table below.
y
p(x,y)
0
1
2
x
0
0.025
0.015
0.010
1
0.050
0.030
0.020
2
0.125
0.075
0.050
3
0.150
0.090
0.060
4
0.100
0.060...

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. Suppose the joint distribution of
X and Y is as given in the table below.
y
p(x,y)
0
1
2
x
0
0.025
0.015
0.010
1
0.050
0.030
0.020
2
0.050
0.075
0.050
3
0.150
0.090
0.060
4
0.100
0.060...

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. Suppose the joint distribution of
X and Y is as given in the table below.
y
p(x,y)
0
1
2
x
0
0.025
0.015
0.010
1
0.050
0.030
0.020
2
0.110
0.075
0.050
3
0.150
0.090
0.060
4
0.100
0.060...

5.1) The joint probability distribution of the number X of cars
and the number Y of buses per signal cycle at a proposed left-turn
lane is displayed in the accompanying joint probability table.
y
p(x, y)
0
1
2
x
0
0.010
0.015
0.025
1
0.020
0.030
0.050
2
0.050
0.075
0.125
3
0.060
0.090
0.150
4
0.040
0.060
0.100
5
0.020
0.030
0.050
(a) What is the probability that there is exactly one car and
exactly one bus...

The joint probability distribution of the number X of
cars and the number Y of buses per signal cycle at a
proposed left-turn lane is displayed in the accompanying joint
probability table.
y
p(x,
y)
0
1
2
x
0
0.010
0.015
0.025
1
0.020
0.030
0.050
2
0.050
0.075
0.125
3
0.060
0.090
0.150
4
0.040
0.060
0.100
5
0.020
0.030
0.050
(a) What is the probability that there is exactly one car and
exactly one bus during...

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