The probability that the operator is busy is 33.33% if the call rate is 2 per minute and average time to handle is 10 seconds.
Given rate of calls 2 per minute and average time to handle a call is 10 seconds.
We have to find the probability that the operator is busy.
Probability is the chance of happening an event among all the events possible. The value of probability lies between 0 and 1.
Probability= number of items/ total items
If rate is 2 per minute then the customers handled in 1 hour=2*60=120
The average time to handle a call=10 seconds.
Therefore customers to be handled in 1 hour=360 (10*6*60)
Probability that the operator is busy is as under:
Probability=λ/μ
=120/360
=1/3
=1/3*100
=33.33%
Hence the probability that the operator is busy is 33.33%.
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The equation is -1/3x+2=y
the y intercept is (0,2)
x intercept is (6,0)
You can say
x+y=5
x=5-y
You know the value of x, put it into the next equation.
3(5-y)-7y=19
15-3y-7y=19
15-19 = 10y
-4=10y
-4/10=y
-2/5=y
Put y value back into either equation to find value of x.
x+y=5
x-2/5=5
x=5+2/5
x=27/5
Therefore, x,y = (27/5, -2/5)
Hope I helped :)
Answer:
The probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.
Step-by-step explanation:
Let us suppose that,
R = Republicans
D = Democrats
I = Independents.
X = a member favors some type of corporate tax reform.
The information provided is:
P (R) = 0.27
P (D) = 0.56
P (I) = 0.17
P (X|R) = 0.34
P (X|D) = 0.41
P (X|I) = 0.25.
Compute the probability that a randomly selected member favors some type of corporate tax reform as follows:
The probability that a randomly selected member favors some type of corporate tax reform is P (X) = 0.3639.
Compute the probability Democrat is selected given that this member favors some type of corporate tax reform as follows:
Thus, the probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.