Answer:
The area of square is 64ft².
Step-by-step explanation:
Given that all sides of a square are equal. So you have to apply the formula for area of square :
A researcher randomly surveyed a sample of high school students in a town to find out which career area they were most intereste
d in pursuing. This table shows the results of the sample. The town has a total of 1000 high school students.
Art Science Finance Health Law Education
26 24 16 21 18 20
Based on this sample, how many high school students in the school are predicted to be most interested in pursuing a career in health?
Enter your answer in the box.
Art Science Finance Health Law Education
26 24 16 21 18 20
Based on this sample, how many high school students in the school are predicted to be most interested in pursuing a career in health?
Enter your answer in the box.
2 answers:
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Answer
a. The expected total service time for customers = 70 minutes
b. The variance for the total service time = 700 minutes
c. It is not likely that the total service time will exceed 2.5 hours
Step-by-step explanation:
This question is incomplete. I will give the complete version below and proceed with my solution.
Refer to Exercise 3.122. If it takes approximately ten minutes to serve each customer, find the mean and variance of the total service time for customers arriving during a 1-hour period. (Assume that a sufficient number of servers are available so that no customer must wait for service.) Is it likely that the total service time will exceed 2.5 hours?
Reference
Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of seven per hour.
From the information supplied, we denote that
Customers that arrive within the hour
and since follows a Poisson distribution with mean
= 7
Therefore,
Let the total service time for customers arriving during the 1 hour period.
Now, since it takes approximately ten minutes to serve each customer,
For a random variable and a constant
,
Thus,
Therefore the expected total service time for customers = 70 minutes
and the variance for serving time = 700 minutes
Also, the probability of the distribution is,
So the probability that the total service time exceeds 2.5 hrs or 150 minutes is,
0.002 is small enough, and the function gets even smaller when
increases. Hence the probability that the total service time exceeds 2.5 hours is not likely to happen.