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julsineya [31]
3 years ago
11

A flyer is spread by people at a large conference. Within one hour, the first person gives a stack of flyers to six people. With

in the next hour, those six people give a stack of flyers to six new people. If this pattern continues, which summation can be used to calculate the number of people who receive a stack of flyers, not including the initial person, in the first five hours?
Sigma-Summation Underscript n = 1 Overscript 5 EndScripts 6 (6) Superscript n minus 1
Sigma-Summation Underscript n = 1 Overscript 5 EndScripts 1 (6) Superscript n minus 1
Sigma-Summation Underscript n = 1 Overscript 5 EndScripts 6 (6) Superscript n
Sigma-Summation Underscript n = 1 Overscript 4 EndScripts 1 (6) Superscript n
Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
7 0

Answer:

ANSWER IS A ON EDGE 2020

Step-by-step explanation:

hope this helps!!!

Mandarinka [93]3 years ago
3 0

Answer:

In summation form \sum_{n = 1} ^{5} 6(6)^{n - 1}

Step-by-step explanation:

Within one hour, the first person gives a stack of flyers to six people and within the next hour, those six people give a stack of flyers to six new people.

So, in the first 5 hours, the summation of people that receive a stack of flyers not including the initial person will be given by

6 + (6 × 6) + (6 × 6 × 6) + (6 × 6 × 6 × 6) + (6 × 6 × 6 × 6 × 6).

So, in summation form \sum_{n = 1} ^{5} 6(6)^{n - 1}

Therefore, Sigma-Summation Underscript n = 1 Overscript 5 EndScripts 6 (6) Superscript n minus 1, gives the correct solution. (Answer)

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Answer:

1) P(X = 8) = 0.1033

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2) Expected number of 200 restaurants in which exactly 8 customers use the drive-through: 20.66

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Step-by-step explanation:

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Question 1. Use the Poisson distribution to calculate the probability that exactly 8 cars will use the drive-through between 12:00 midnight and 12:30 AM on a Saturday night at Wendy's. Do the same for exactly 9 cars.

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturday nights. This means that during 30 minutes, 6 cars expected to arrive. So \mu = 6.

P(X = 8)

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P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

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Question 2. At how many of the 200 restaurants in the survey would you expect exactly 8 customers to use the drive-through? exactly 9 customers?

There is a 10.33 probability that 8 customers would use the drive through for each restaurant.

So of 200, the expected number is

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