If 8 7/18 - ( 1 5/6 + y) = 3 4/15 + 2 3/45<br> what is y?

Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 5656 per hour. Find

liberstina [14]

Answer:

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

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. The variance is the same as the mean.

Average rate of 56 calls per hour:

This means that $\mu = 56n$ , in which n is the number of hours.

Find the average and standard deviation of the number of service calls in a 15-minute period.

15 minute is one fourth of a hour, which means that $n = \frac{1}{4}$ . So

$\mu = 56n = \frac{56}{4} = 14$

The variance is also 14, which means that the standard deviation is $\sqrt{14} = 3.74$

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

4 0

2 years ago

If the dimensions of a square pyramid are measured in yards, then the volume of the pyramid is measured in

Leona [35]

Yd * yd * yd = yd^3

The volume is measured in cubic yards.

8 0

3 years ago

Read 2 more answers

The probability that Gerald makes a three-point shot in basketball is 20%. For practice, Gerald will regularly

denpristay [2]

count all the dots that are greater than 10. you'll get 6 dots. the question is asking for the dots 10 and fewer there is 40 dots in total so you subtract

40-6= 34

the answer is 34/40

6 0

3 years ago

Use the figure to find the measures of the numbered angles. Explin your reasoning.

Reika [66]

1)81° due to the fact that 99° and (1) are supplementary angles
2)99° due to the fact that (5) and (2) are adjacent angles that sum up to equal 180°
3)81° due to the fact that it is the corresponding angle to (5)
4)99° due to the fact that (4) and (2) are alternate interior angles which equal the same
5)81° due to the fact that (5) and (6) are adjacent angles which means they are supplementary angles that add to equal 180°
6)99° due to the fact that (6) and (2) are corresponding angles which equal the same value
7)81° due to the fact that (7) and (3) are corresponding angles with equal the same degree

7 0

3 years ago

How do you find the length of a diagonal right triangle ?

V125BC [204]

Unsure what you mean by diagonal right triangle

but if you wanted to find the hypothenuse (longest side) of a right triangle, you can apply pythagorean theorem

$a^2+b^2=c^2$
where c is the hypothenuse
a and b are the other sides

7 0

3 years ago

If 8 7/18 - ( 1 5/6 + y) = 3 4/15 + 2 3/45 what is y?