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Natalija [7]
3 years ago
13

The service-time distribution describes the probability P that the service time of the customer will be no more than t hours. If

m is the mean number of customers serviced in an hour, then Suppose a computer technical support representative can answer calls from 6 customers in an hour. What is the probability that a customer will be on hold less than 30 minutes?
Mathematics
2 answers:
zhuklara [117]3 years ago
6 0
95% is the answer to your question
Mariulka [41]3 years ago
4 0

Answer:

Probability that a customer will be on hold less than 30 minutes is 95%

Step-by-step explanation:

Complete question is

The service-time distribution describes the probability P that the service time of the customer will be no more than t hours. If m is

the mean number of customers services in an hour, then P = 1 - e^{-mt}

. a. Suppose a computer technical support representative can answer calls from 6 customers in an hour. What is the probability

that a customer will be on hold less than 30 minutes?

Solution -

Given the equation of probability -

P = 1 - e^{-mt}

Where m is the average number of customers served in an hour

and t is the total time

Now, in this case m is equal to 6 as technical support representative ia bale to answer calls from 6 customers in an hour

and time t = 30 minutes = \frac{1}{2} hours

Substituting the given values in above equation, we get -

P = 1 - e^{-6 *\frac{1}{2} }\\P = 1 - e^{-3}\\P = 1 - 0.04978\\P = 0.95

Probability that a customer will be on hold less than 30 minutes is 95%

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3 years ago
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Lady bird [3.3K]

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Step-by-step explanation:

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2 years ago
I dentist the slope and a point on the line
Anika [276]

Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y  -1 = 2/3(x-6)  We want to get this into the slope intercept form of a line.  We want it to be in the form y = mx + b.  Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9  Now divide all the way through by 3 to get

y = 2/3x - 3  

y = mx + b.  The m part is the slope.  In this equation the slope is 2/3

There are in infinite amount of points on a line.  I do not know if they give you a picture or if you are just to create your own.  I am going to create a point that have x = 0.  I get to pick the point.  I could pick any number.  0 is just usually really easy.  So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1  so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works.  I think that I would do it like this"

y - 1 = 2/3(x - 6)  Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4  I can make -6 a fraction by putting it over 1.  Now we have 2/3(-6/1)  multiply across to get  -12/3.  A positive times a negative is a negative.  -12 divided by 3 is -4.

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6 0
1 year ago
Which one would it be?
Leni [432]
C is the answer.
in the original function, when x=0, y=-1
in the new function, to make y=-1, x+3=0, x=-3. From the original 0 to -3 is a shift of 3 units to the left. 
6 0
3 years ago
I forgot how to divide fractions properly. please send help.
Mamont248 [21]

Answer:

2.5 or 10/4

Step-by-step explanation:

2÷4/5  

Integers can be fractions. Which are just the summation of equal parts. So integers can be written in any fractional form as you like,

2/1÷4/5

But turning your fraction into an integer is not enough to divide, you must first use the reciprocal form of your dividend. and then you multiply to obtain your answer. (The reason is that division is multiplication of the reciprocal)

2/1×5/4

And tadaa! you get your answer

10/4

You can also simplify it!

5/2

6 0
3 years ago
Read 2 more answers
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