Question

1. What is the approximate probability of Express A arriving at the station after 12:30 hours? *

a) 0.44
b) 0.55
c) 0.78
d) No response


2.What will be the probability of Express B and Express C leaving the station at the same time?

a) 0
b) 0.42
c) 0.63
d) Cannot be determined
e) No response


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Answer 1

Question 1 :-

What is the approximate probability of Express A arriving at the station after 12:30 hours?

Answer:-

• No Response

Explanation:-

• 2t ^3 + 5 t ^2 + 3

Then calculate average angular acceleration For time interval

• t = 0 sec to t = 2 sec

So,

• The Answer Is 2 Seconds But The Option Is Not Given.

∴ The Answer Is No Response.

Question 2 :-

What will be the probability of Express B and Express C leaving the station at the same time?

Answer:-

• Cannot Be Determined

Answer 2

Answer:

Trains arrive at a station at the rate of 25 per hour. What's the probability that the time between trains arriving is 6 mins or less?

Unless there is something I’m not getting (like this is intended to be solved with the Poisson distribution), then the probability is 100%. With 25 trains per hour, that’s on average 6025=2.4 minutes between trains arriving. Since the average is less than 6 minutes, at least 1 train must arrive in less than 6 minutes.

However, I’m going to use the Poisson distribution to try to give an answer to this, because otherwise the probability is 100% and this problem is useless. If the rate of events per hour is 25, then the rate of events per minute is 2560=512 . And the Poisson parameter is the rate of events per minute so λ=512 .

The exponential distribution describes time in between Poisson events, so we can use that to describe the probability that a train takes more than 6 minutes to arrive. In the exponential distribution, the probability that an event takes less than t time to occur is 1− e−t/λ .

In our case, t=6, and λ=512 . If you plug those variables in and solve, the answer is about 99.99994426089886165163%.

Very high probability indeed.

d) No response

2 . d) Cannot be determined

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Step-by-step explanation:

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