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spin [16.1K]
2 years ago
7

The arrival of customers at a service desk follows a Poisson distribution. If they arrive at a rate of two every five minutes, w

hat is the probability that no customers arrive in a five-minute period? ​
Mathematics
1 answer:
vampirchik [111]2 years ago
5 0

Answer:

13.53% probability that no customers arrive in a five-minute period

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

They arrive at a rate of two every five minutes

This means that \mu = 2

What is the probability that no customers arrive in a five-minute period?

This is P(X = 0).

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

P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353

13.53% probability that no customers arrive in a five-minute period

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Answer: A cone with height 3 and radius 1

Step-by-step explanation:

Hi, searching I found the image for the question, attached down below.

By rotating the triangle about line m, a cone with height 3 and radius 1 is produced.

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Step-by-step explanation:

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2 years ago
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⭐ Question 3
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Answer:

1/10

Step-by-step explanation:

Because there are 10 markers and only one is yellow. so you have a one in ten chance to pull a yellow marker.

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2 years ago
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How do you convert 6.5 pounds to a fraction
fomenos
6.5 lbs/100lbs but what is it out of? 6.5 lbs out of what? 6.5/10 6.5/10000000lbs???
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A new park was designed to contain two circular gardens. Garden A has a diameter of 50 m, and garden B has a diameter of 70 m. T
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Answer:

5,811.95\  m^2 of fabric.

Step-by-step explanation:

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