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Nata [24]
3 years ago
11

Please help me with the question 15 POINTS

Mathematics
1 answer:
amm18123 years ago
3 0
Each of these questions is substantially the same as the others. The answer is, "it depends" on what you want a random sample of. If you want random people in the country, you will not get that from these protocols.

If you want random people that meet certain criteria (have phones, shop in eyeglasses stores, use specific venues), then these protocols will deliver.
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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
What is 9/10 divided by 3/4?
goldenfox [79]

Answer:

6/5

Step-by-step explanation:

hi! when dividing fractions, we use the KCF rule, which stands for keep,change,flip. we keep the first fraction the same, change the division symbol to multiplication, and flip the second fraction to its reciprocal. therefore, we now have:

9/10 * 4/3

now, we can multiply the numerators and denominators.

36/30

we can simplify this.

6/5

7 0
3 years ago
Read 2 more answers
If a prison deceased by 372 prisoners each month over one year what the monthy decrease
kozerog [31]

Answer:

31 deaths per month

Step-by-step explanation:

12 months in a year

372 / 12 = 31

4 0
3 years ago
The angle measures of a triangle are shown in the diagram.
STALIN [3.7K]

Answer:

Step-by-step explanation:

B

5 0
3 years ago
How do you solve for x using the problem above?
spin [16.1K]
First you have to subtract 35 on both sides, then you would have to divide by 90
6 0
3 years ago
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