Am I doing this Correctly;
The average worker at the call center answers an average of 11 calls per hour with a population standard deviation of 3 calls/hour.
What is the probability that a worker will answer more than 15 calls in an hour?
How I approached solving the problem:
The mean is 11
Standard deviation is 3 (this confused me since it said population standard deviation)
Z score = Measured value – mean / standard deviation
Z score = (15 – 11)/3 = 1.33 or 0.9082.
If we are looking at more than this becomes the value to the right of the curve or 1- 0.9082 = 9.18%
Answer:
9.18% is the probability that a worker will answer more than 15 calls in an hour
What is the probability that a worker will answer between 7 and 12 calls in an hour?
How I approached solving the problem:
Z score = (7 – 11)/3 = -1.3333 or
Z score = (12 – 11)/3 = .3333
We want the values in between the two scores (between 0.0919 and 0.6293); this equals 0.6293 -.0919.
Answer: is 0.5374 or 53.74% probability that a worker will answer between 7 and 12 calls in an hour.
The average worker at the call center answers an average of 11 calls per hour with a population standard deviation of 3 calls/hour.
What is the probability that a worker will answer more than 15 calls in an hour?
How I approached solving the problem:
The mean is 11
Standard deviation is 3 (this confused me since it said population standard deviation)
Z score = Measured value – mean / standard deviation
Z score = (15 – 11)/3 = 1.33 or 0.9082.
If we are looking at more than this becomes the value to the right of the curve or 1- 0.9082 = 9.18%
Answer:
9.18% is the probability that a worker will answer more than 15 calls in an hour
What is the probability that a worker will answer between 7 and 12 calls in an hour?
How I approached solving the problem:
Z score = (7 – 11)/3 = -1.3333 or
Z score = (12 – 11)/3 = .3333
We want the values in between the two scores (between 0.0919 and 0.6293); this equals 0.6293 -.0919.
Answer: is 0.5374 or 53.74% probability that a worker will answer between 7 and 12 calls in an hour.