Question
In: Statistics and Probability
4. A subway has good service 70% of the time and runs less frequently 30% of...
4. A subway has good service 70% of the time and runs less frequently 30% of the time because of signal problems. When there are signal problems, the amount of time in minutes that you have to wait at the platform is described by the pdf probability density function with signal problems = pT|SP(t) = .1e −.1t.
But when there is good service, the amount of time you have to wait at the platform is probability density function with good service = pT|Good(t) = .3e −.3t.
You arrive at the subway platform and you do not know if the train has signal problems or running with good service, so there is a 30% chance the train is having signal problems.
(a) After 1 minute of waiting on the platform, you decide to re-calculate the probability that the train is having signal problems based on the fact that your wait will be at least 1 minute long. What is that new probability?
(b) After 5 minutes of waiting, still no train. You re-calculate again. What is the new probability?
(c) After 10 minutes of waiting, still no train. You re-calculate again. What is the new probability?
Solutions
orchestra answered 2 years agoRelated Solutions
A subway has good service 70% of the time and runs less frequently 30% of the...
A subway has good service 70% of the time and runs less
frequently 30% of the time because of signal problems. When there
are signal problems, the amount of time in minutes that you have to
wait at the platform is described by the pdf probability density
function with signal problems = pT|SP(t) = .1e^(−.1t). But when
there is good service, the amount of time you have to wait at the
platform is probability density function with good service =...
A subway has good service 70% of the time and runs less frequently 30% of the...
A subway has good service 70% of the time and runs less
frequently 30% of the time because of signal problems. When there
are signal problems, the amount of time in minutes that you have to
wait at the platform is described by the pdf probability density
function with signal problems = pT|SP(t) = .1e −.1t But when there
is good service, the amount of time you have to wait at the
platform is probability density function with good service...
4. Poway is a town that has 70 families with a child, and 30 without a...
4. Poway is a town that has 70 families with a child, and 30
without a child. 30 of the families with a child are willing to pay
as much as $6,000 to educate their child, and 40 are willing to pay
as much as $4,000 to educate their child. Each educated child
creates a positive externality of $30 for each family in Poway but
the cost of educating a child in Poway is $5,000.
(a) Without regulation, how many...
QUESTION 5 [4] A courier service company has found that their delivery time of parcels to...
QUESTION 5 [4]
A courier service company has found that their delivery time of
parcels to clients is approximately normally distributed with a
mean delivery time of 30 minutes and a variance of 25 minutes
(squared).
a) What is the probability that a randomly selected parcel will
take between 26 and 42 minutes to deliver? (2)
b) What is the maximum delivery time (minutes) for the 2.5% of
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A car dealership claims that its average service time is less than 7 hours on weekdays....
A car dealership claims that its average service time is less
than 7 hours on weekdays. A random sample of 16 service times was
recorded and yielded the statistics x ̅=6.75 hours and s= 1.62
hours. Assume service times are normally distributed, is there
enough evidence to support the dealership’s claim at 5%
significance level? 10 marks (Please show every step for
full marks)
Hypotheses:
Rejection Region:
Test Statistic:
Decision/Conclusion:
A courier service advertises that its average delivery time is less than 6 hours for local...
A courier service advertises that its average delivery time is
less than 6 hours for local deliveries. A sample of 16 local
deliveries was recorded and yielded the
statistics x = 5.83
hours and s = 1.59 hours. At the 5% significance level, conduct a
hypothesis test to determine whether there is sufficient evidence
to support the courier’s advertisement.
the data BaseballTimes contains 4 quantitative variables that might be useful for predicting game "Time". Runs,...
the data BaseballTimes contains 4 quantitative variables that
might be useful for predicting game "Time".
Runs, Margin, Pitchers, and Attendance
Game
League
Runs
Margin
Pitchers
Attendance
Time
CLE-DET
AL
14
6
6
38774
168
CHI-BAL
AL
11
5
5
15398
164
BOS-NYY
AL
10
4
11
55058
202
TOR-TAM
AL
8
4
10
13478
172
TEX-KC
AL
3
1
4
17004
151
OAK-LAA
AL
6
4
4
37431
133
MIN-SEA
AL
5
1
5
26292
151
CHI-PIT
NL
23
5...
Think of a good or service with which you are familiar and for which there has...
Think of a good or service with which you are familiar and for
which there has been a recent change in quantity demanded because
of a change (up or down) in price.What is the good or service? What
is your best estimate of the original quantity demanded? New
quantity demanded? (please explain your units carefully.) You don’t
need to do research: these numbers can be a best “guess.” What is
your best estimate of the original price? New price? (please...
Rostand Inc. operates a delivery service for over 70 restaurants. The corporation has a fleet of...
Rostand Inc. operates
a delivery service for over 70 restaurants. The corporation has a
fleet of vehicles and has invested in a sophisticated, computerized
communications system to coordinate its deliveries. Rostand has
gathered the following actual data on last year’s delivery
operations:
Deliveries made
38,600
Direct labor
31,000
direct labor hours @ $14.00
Actual variable overhead
$157,700
Rostand employs a
standard costing system. During the year, a variable overhead rate
of $5.10 per hour was used. The labor standard requires...
Competitor Without Premium With Premium Time Warner Without Premium 65, 35 70, 30 With Premium 60,...
Competitor
Without Premium
With Premium
Time Warner
Without Premium
65, 35
70, 30
With Premium
60, 40
65, 35
What is the dominant strategy for each
player and why?
What is the nash equilibrium?
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