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Ghella [55]
3 years ago
8

So far I've ruled out answer D but I need help on the rest! please help asap!

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

Answer:

the answer is D.

Step-by-step explanation:

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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
Dovator [93]

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.

3 0
3 years ago
Which is NOT used to reach conclusion in a formal proof?
Sav [38]
The answer is Inductive Reasoning


3 0
3 years ago
Write each number as a product of a decimal number between 1 and 10 and a power of 10.<br> 234,000
MrRa [10]

Answer:

2.34 * 10^5.

Step-by-step explanation:

234000 = 2.34 * 10^5

- there are 5 digits after the first number so the exponent is 5.

4 0
3 years ago
1.<br> 3.<br> 2.<br> 4.<br> Which shapes will fold into a box with no lid?
vladimir2022 [97]

Answer: The answer is 1 and 3

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5 0
3 years ago
Read 2 more answers
If 55% is 70.4 so what is hundred percent​
hodyreva [135]

Answer:

55%=70.4

1%=70.4/55= 1.28

100%=1.28into 100 = 128

8 0
3 years ago
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