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3 years ago

12

At Chelsea's workplace, 30 people drink 2 cups of coffee a day on average. A pot of coffee has 10 cups of coffee. How many pots

of coffee are needed each day?

1 answer:

cluponka [151]3 years ago

4 0

6 pots would be the answer.
30*2=60
1 pot=10
60 divided by 10 = 6

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It will take 4 hours for the second car to catch up with the first car.

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Suppose that the number of customers that enter a bank in an hour is a Poisson random variable, and suppose that P(X = 0) = 0.09

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Answer:

$E(X) = V(X) = 2.41$

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 interval.

In the Poisson distribution, the mean is the same as the variance.

P(X = 0) = 0.09

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

$P(X = 0) = \frac{e^{-\mu}*\mu^{0}}{(0)!} = e^{-\mu}$

So

$e^{-\mu} = 0.09$

We apply ln to both sides, which is the inverse operation of the exponential.

So

$\ln{e^{-\mu}} = \ln{0.09}$

$-\mu = -2.41$

Multiplying by -1

$\mu = 2.41$

So

$E(X) = V(X) = 2.41$

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