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Law Incorporation [45]
2 years ago
14

Students returning to a secondary school have to pass through a check point at the rate of 50 per though. The average time for c

hecking is 35 seconds. The arrival rate and service rate follow a Poisson distribution. There is a delay and the principal is willing to include another check point to reduce the average time of checking to 28 seconds if the idle time is less than 10% and the average queue length is more than 10 students, check whether the introduction of an extra check point is justifiable.
Mathematics
2 answers:
zysi [14]2 years ago
8 0

The average queue length is greater than 10 students, the introduction of an extra checkpoint is justifiable.

<h3>How to explain the information?</h3>

Since the arrival rate and service rate follow a Poisson distribution, we can use the Poisson arrival rate formula to calculate the average queue length.

Average queue length = (arrival rate * service time) / (1 - arrival rate * service time)

For the given problem, the average queue length is:

Average queue length = (50 * 35) / (1 - 50 * 35)

= 175

Since the average queue length is greater than 10 students, the introduction of an extra checkpoint is justifiable.

Learn more about distribution on:

brainly.com/question/9123296

#SPJ9

Pavlova-9 [17]2 years ago
4 0
I think its 101010183727382
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Josh travels frequently. For a particular airline, it takes 20 minutes for the first bag to arrive in baggage claim after a flig
Orlov [11]

Using the uniform distribution, it is found that:

A,B) 0.3 of the time does it take longer than 27 minutes for Josh’s bag to arrive in baggage claim.

C) 20% of the time does Josh’s bag arrive in less than 22 minutes.

--------------------------

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

--------------------------

  • In the graph, we have that the distribution is uniform between 20 and 30 minutes, thus a = 20, b = 30

--------------------------

Itens a and b:

  • Above 27 minutes, thus:

P(X > 27) = \frac{30 - 27}{30 - 20} = 0.3

0.3 of the time does it take longer than 27 minutes for Josh’s bag to arrive in baggage claim.

--------------------------

Item c:

  • Less than 22 minutes, thus:

P(X < 2) = \frac{22 - 20}{30 - 20} = 0.2

0.2*100 = 20%

20% of the time does Josh’s bag arrive in less than 22 minutes.

A similar problem is given at brainly.com/question/15855314

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2 years ago
Need help with 8,9, and 10
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Answer:C B A

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2 years ago
Please help me! Thank you!
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Answer:

Graph A?

Step-by-step explanation:

Just trying to help, but I don't really know. I would say A because its a HUGE jump, but B is a steady incline, but assuming that A has the little incline in the beginning, and then the jump, then back to the incline, probably A would be more profitable.

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Is -36/12 an integer whole number natural rational or irrational ?
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Step-by-step explanation:

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