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Anni [7]
2 years ago
15

Can you help thank you ???????

Mathematics
2 answers:
Dmitry_Shevchenko [17]2 years ago
8 0

Answer:

L = 186

Step-by-step explanation:

84 - 60 = 24

210 - 24 = 186

zysi [14]2 years ago
3 0

Answer:

The Length of the rectangular pond is 150

Step-by-step explanation:

210 X 60 = 12600

12600/84

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The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me
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Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

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.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

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

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There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

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