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 | 0.025 | 0.010 | 0.015 |
1 | 0.050 | 0.020 | 0.030 | |
2 | 0.125 | 0.050 | 0.075 | |
3 | 0.150 | 0.060 | 0.090 | |
4 | 0.100 | 0.040 | 0.060 | |
5 | 0.050 | 0.020 | 0.030 |
(a) What is the probability that there is exactly one car and
exactly one bus during a cycle?
(b) What is the probability that there is at most one car and at
most one bus during a cycle?
(c) What is the probability that there is exactly one car during a
cycle? Exactly one bus?
P(exactly one car) | = |
P(exactly one bus) | = |
(d) Suppose the left-turn lane is to have a capacity of five cars
and one bus is equivalent to three cars. What is the probability of
an overflow during a cycle?
(e) Are X and Y independent rv's? Explain.
Yes, because p(x, y) = pX(x) · pY(y).Yes, because p(x, y) ? pX(x) · pY(y). No, because p(x, y) = pX(x) · pY(y).No, because p(x, y) ? pX(x) · pY(y).
The joint probability distribution of the number X of cars and the number Y of buses...
of cars and the number of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint The joint probability distribution of the number probability table. p(x, y) 0 1 2 0 0.015 0.010 0.025 1 0.030 0.0200.050 2 0.075 0.050 0.125 3 0.090 0.060 0.150 4 0.060 0.040 0.100 5 0.030 0.0200.050 (a) What is the probability that there is exactly one car and exactly one bus during a cycle? (b) What is the probability...
please answer all parts. thank youu My Notes points Devorestat 5.E.007 ASK TOur leache 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. p(x, y) 0 2 0.025 0.010 0.015 1 0.050 0.020 0.030 2 0.125 0.050 0.075 3 0.150 0.060 0.090 4 0.100 0.040 0.060 0.050 0.020 0.030 (a) What is the probability that there is...
Submit Answer 6. [0/10 Points] DETAILS PREVIOUS ANSWERS DEVORESTAT9 5.E.026. MY NOTES PRACTICE ANOTHER 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. 1 1 y p(x,y) 0 2 0 0.025 0.015 0.010 0.050...
please answer the missing spots The air t pr bability distributian o the number K af cars and the number ץ cf buses per sgnal c ce at a Prpased lettum lane is displayed in tne accom any ng Oit po bability tale 0.015 0.010 0.025 D.030 0.20 0.050 20.075 0.050 0.125 4 0.060 0.040 0.100 D.30.20 .0so (a) What is the probability that there is exactly ore car end exactly une bus during a cycle? (b) What is the...
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