Here is some information about how many passengers are likely to be waiting at the thre Eduardo's, listed as probabilities for each number of passengers: Bus Stop # of people at stop Probability this many are at this stop

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Here is some information about how many passengers are likely to be waiting at the three stops before
Eduardo's, listed as probabilities for each number of passengers:
с
$
4
JL
%
5
t
Bus Stop
A (transit
center)
a
JU
A
B (market)
A
B
6
B
B
C (post
office)
C
A
# of people
at stop
1
2
y
3
0
1
3
0
1
2
3
JL
Probability this
v lo
many
The passengers who get on during these first few stops do not get off the bus before the bus reaches
O
&
are at this stop
15%
20%
30%
35%
10%
25%
35%
acer
30%
5%
35%
40%
20%
u
* 00
8
(
9
1
US Oct 30
P
Transcribed Image Text:Here is some information about how many passengers are likely to be waiting at the three stops before Eduardo's, listed as probabilities for each number of passengers: с $ 4 JL % 5 t Bus Stop A (transit center) a JU A B (market) A B 6 B B C (post office) C A # of people at stop 1 2 y 3 0 1 3 0 1 2 3 JL Probability this v lo many The passengers who get on during these first few stops do not get off the bus before the bus reaches O & are at this stop 15% 20% 30% 35% 10% 25% 35% acer 30% 5% 35% 40% 20% u * 00 8 ( 9 1 US Oct 30 P
assignme
B
B
C (post
office)
M
C
C
C
2
3
0
1
2
3
35%
30%
10
55
40%
The passengers who get on during these first few stops do not get off the bus before the bus reaches
Eduardo's stop.
20%
The social distancing guidelines provide for a maximum of 8 passengers, not including the driver.
1. What is the probability that 3 people are waiting at all three stops simultaneously? What do you need to
assume to do this calculation?
2. What are the possibilities, for number waiting at each stop, which result in the bus being full?
3. What is the probability of the bus being full before it arrives at Eduardo's stop? Explain in detail how you
calculate this and why you chose those calculations.
4. If 3 people get on at the transit center, what is the probability that the bus is full when it reaches
Eduardo's stop? Explain in detail how you calculate this and why you chose those calculations.
5. If the bus is full when it reaches Eduardo's stop, what is the probability that 3 people got on at the
transit center? Explain in detail how you calculate this and why you chose those calculations.
6. If Eduardo walks to the post office to catch the bus, what is the probability that the bus is full before it
arrives there? Explain in detail how you calculate this and why you chose those calculations.
7. Which of the above calculations above are conditional probabilities, and which are not? Explain how you
know.
US
Oct 30
4
*
6:50
Transcribed Image Text:assignme B B C (post office) M C C C 2 3 0 1 2 3 35% 30% 10 55 40% The passengers who get on during these first few stops do not get off the bus before the bus reaches Eduardo's stop. 20% The social distancing guidelines provide for a maximum of 8 passengers, not including the driver. 1. What is the probability that 3 people are waiting at all three stops simultaneously? What do you need to assume to do this calculation? 2. What are the possibilities, for number waiting at each stop, which result in the bus being full? 3. What is the probability of the bus being full before it arrives at Eduardo's stop? Explain in detail how you calculate this and why you chose those calculations. 4. If 3 people get on at the transit center, what is the probability that the bus is full when it reaches Eduardo's stop? Explain in detail how you calculate this and why you chose those calculations. 5. If the bus is full when it reaches Eduardo's stop, what is the probability that 3 people got on at the transit center? Explain in detail how you calculate this and why you chose those calculations. 6. If Eduardo walks to the post office to catch the bus, what is the probability that the bus is full before it arrives there? Explain in detail how you calculate this and why you chose those calculations. 7. Which of the above calculations above are conditional probabilities, and which are not? Explain how you know. US Oct 30 4 * 6:50
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