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Norma-Jean [14]
2 years ago
7

Find the difference of 24.7 and 20.5​

Mathematics
2 answers:
mafiozo [28]2 years ago
8 0

Answer:

4.2

Step-by-step explanation:

Subtract 20.5 from 24.7

 20.5

- 24.7

-----------

   4.2

Hope this helped :)

yawa3891 [41]2 years ago
3 0

Answer:

4.2

Step-by-step explanation:

24-20=4. .7-.5=.2. 4+.2=4.2

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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?

This is P(X = 2). So:

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

P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073

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

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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