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3 years ago

GIVING BRAINLEST

Mathematics

2 answers:

Rama09 [41]3 years ago

8 0

I cant answer this since you do not show any graphs

ipn [44]3 years ago

4 0

Where are the graphs ?

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A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than five compla

Zolol [24]

Answer:

48.68% probability that managment is unhappy with the number of complaints in the next eight hours.

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.

A service center receives an average of 0.6 customer complaints per hour.

This means that $\mu = 0.6n$ , in which n is the number of hours.

Eight hours:

This means that $n = 8, \mu = 0.6*8 = 4.8$

Determine the probability that managment is unhappy with the number of complaints in the next eight hours.

They will be unhappy if they receive five or more complaints.

Either they receive less than five complaints, or they receive at least five. The sum of the probabilities of these events is 1. So

$P(X < 5) + P(X \geq 5) = 1$

We want $P(X \geq 5)$ .

Then

$P(X \geq 1) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

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

$P(X = 0) = \frac{e^{-4.6}*4.6^{0}}{(0)!} = 0.0101$

$P(X = 1) = \frac{e^{-4.6}*4.6^{1}}{(1)!} = 0.0462$

$P(X = 2) = \frac{e^{-4.6}*4.6^{2}}{(2)!} = 0.1063$

$P(X = 3) = \frac{e^{-4.6}*4.6^{3}}{(3)!} = 0.1631$

$P(X = 4) = \frac{e^{-4.6}*4.6^{4}}{(4)!} = 0.1875$

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0101 + 0.0462 + 0.1063 + 0.1631 + 0.1875 = 0.5132$

Finally

$P(X \geq 1) = 1 - P(X < 5) = 1 - 0.5132 = 0.4868$

48.68% probability that managment is unhappy with the number of complaints in the next eight hours.

6 0

3 years ago

In a recent 10-year period, the change in number of visitors to U.S national parks was about -11,150,000 visitors what is the ye

Debora [2.8K]

10 year ×12 months=120 months

11150000÷120=

That is the answer, sorry I am going out can't find the answer

4 0

3 years ago

I require assistance with this math problem

grigory [225]

Answer:

Step-by-step explanation:

Since RQ bisects WRV, WRQ = QRV, 48=7y+6. 48-6=42, leaving 42=7y. 42/7=6.

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3 years ago

brian earns 420 a daywotking at a convenience store. write an algebraic expression to represent the money hre in will earn in d

Slav-nsk [51]

Answer:

420d

Step-by-step explanation:

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3 years ago

Read 2 more answers

What fraction of this model in simplest form is shaded (fraction is 2/10)

rodikova [14]

I don’t really understand ur question but the fraction 2/10 in simplest form is 1/5

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3 years ago