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Due to excessive pollution, GREEN Solutions Inc. is considering subsidizing public transportation to work for its employees. According to the manager it takes an average weekday commute of 39 minutes with a Standard Deviation of 7 minutes for the employees to get to work while they use their personal vehicles for their office commute while the management set a policy of not more than 40 minutes for their daily one-way commute. A survey conducted one day on 70 employees showed an average of 34 minutes commuting time using the metro public transportation system with a Standard Deviation of 21 minutes. Assuming a Normal Distribution for the commute times by either personal or public transportation, which of these is true?
Suggested Answer: B
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34 comments · newest first
LU
Lucy
11 months ago
Not sure about that, higher SD doesn't always mean worse outcomes.
ME
Merissa
11 months ago
I think the probabilities are pretty close, but MPTS has more variability.
BR
Brett
11 months ago
Wait, 21 minutes SD for MPTS? That seems really inconsistent.
JA
Jacquelyne
12 months ago
I totally agree, the stats show MPTS is faster!
BU
Bulah
12 months ago
Personal vehicles take longer on average, so MPTS might be better.
YO
Yolande
12 months ago
I feel like we might need more data to really understand the impact of weekend traffic, but I don't think that's the main focus here.
LY
Lyndia
1 year ago
This question reminds me of a practice problem where we compared commute times. I think the consistency of the personal vehicles might give them an edge.
MA
Margery
1 year ago
I'm not entirely sure, but I think the higher standard deviation for the MPTS could mean more variability in commute times, which might affect punctuality.
GA
Gail
1 year ago
I remember we discussed how a lower average commute time usually indicates a higher probability of arriving on time, so I think the MPTS might be better.
TH
Theodora
1 year ago
Hmm, I'm not sure about incorporating the weekend data. I think I'll just focus on the weekday commute information provided in the question.
NE
Nenita
1 year ago
This seems straightforward enough. I just need to plug the numbers into the normal distribution formula and see which option has a higher probability of being under 40 minutes.
AL
Alesia
1 year ago
I'm a bit confused by the standard deviation values. How do I know which one is more consistent? I'll need to think this through step-by-step.
GE
Gennie
1 year ago
Okay, I think I've got this. The key is to use the normal distribution to calculate the probability of arriving on time for each option and compare them.
CH
Chaya
1 year ago
Hmm, this looks like a tricky one. I'll need to carefully compare the mean and standard deviation for both commute options to determine the probabilities.
KA
Katina
1 year ago
I'm pretty confident on this one. Proof of stake is designed to be more energy-efficient than proof of work, so it's most often used for public blockchains that need to handle high traffic volumes. I'll select D.
RE
Remona
1 year ago
Easy one - the sprint must always be finished, no exceptions. That's the whole point of having a sprint in the first place. I'm confident that option C is the correct answer here.
AM
Amos
1 year ago
Mtr is the tool that combines traceroute and ping, so that's the answer I'm going with.
HU
Hubert
1 year ago
Ah, the classic 'normal distribution' question. If only life were that predictable. I bet the exam writer's commute is a nice, bell-shaped curve. Mine? More like a hot mess on wheels.
LI
Lisbeth
1 year ago
E) When Standard Deviation is higher the probability goes down and so the MPTS is worse
IL
Ilene
1 year ago
A) The probability that they would arrive on time using personal vehicles is much higher than using the metro public transportation system (MPTS)
LA
Lavonda
2 years ago
Wait, so they're trying to figure out the best way to get their employees to work on time? I've got a solution - teleportation. No traffic jams, no delays, just *poof* and you're at the office.
DA
Daryl
1 year ago
Wait, so they're trying to figure out the best way to get their employees to work on time? I've got a solution - teleportation. No traffic jams, no delays, just *poof* and you're at the office.
HU
Hubert
1 year ago
E) When Standard Deviation is higher the probability goes down and so the MPTS is worse
AV
Avery
1 year ago
B) The probability that they would arrive on time using the MPTS is much higher than using their personal vehicles
PO
Pok
1 year ago
A) The probability that they would arrive on time using personal vehicles is much higher than using the metro public transportation system (MPTS)
TR
Tran
2 years ago
E? Really? That's like saying the more unpredictable your commute, the worse it is. I think the exam writer needs to go back to statistics 101.
LA
Larae
1 year ago
E? Really? That's like saying the more unpredictable your commute, the worse it is. I think the exam writer needs to go back to statistics 101.
VE
Vesta
1 year ago
A) The probability that they would arrive on time using personal vehicles is much higher than using the metro public transportation system (MPTS)
DE
Devon
2 years ago
I'm going to have to go with D. We need more data, especially on weekends, to get a better understanding of the traffic patterns.
EL
Elke
2 years ago
Hmm, I'm not sure. The standard deviation for the public transportation system is much higher, so the consistency is lower. I might go with C.
RE
Rebbeca
2 years ago
I think the answer is B. The public transportation system has a lower average commute time, so the probability of arriving on time is higher than using personal vehicles.
CA
Catarina
2 years ago
That's an interesting point, Sanda. But I still think the MPTS is a better option overall, especially considering the policy of not more than 40 minutes for the daily commute.
SA
Sanda
2 years ago
I disagree, I believe the answer is A. Even though the standard deviation is lower for personal vehicles, the average commute time is higher. So, it's more likely that employees will arrive on time using their own vehicles.
CA
Catarina
2 years ago
I think the answer is B. The metro public transportation system seems to have a lower average commute time and a higher standard deviation, so it's more likely that employees will arrive on time using it.