3.0 Question 3

Telephone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways.

3.1 Probability Calculations

Find the probability of receiving 3 calls in a 5–minute interval

3.2 Probability Calculations

Find the probability of receiving 10 calls in 15 minutes

3.3 Calculations

Suppose that no calls are currently on hold. If the agent takes 5 minutes to complete processing the current call:

3.3.1 How many callers do you expect to be waiting by that time?

3.3.2 Probability calculations

What is the probability that no one will be waiting

3.4 Probability Calculations

If no calls are currently being processed, what is the probability that the agent can take 3 minutes for personal time without being interrupted?

5.0 Question 5

A sample of 500 respondents was selected in a large metropolitan area in order to determine information concerning consumer behaviour. Among the questions asked was "Do you enjoy shopping for clothing?"

Of the 240 males, 136 answered Yes

Of the 260 females, 224 answered Yes

5.1 Calculations

Is there evidence of a difference in the proportion of males and females who enjoy shopping for clothing?

5.2 Calculations

Suppose that instead of determining whether there is a difference between the 2 groups in 5.1, we wish to know if there is evidence that the proportion of females who enjoy shopping for clothing is higher than the proportion of males? What is the conclusion at the 5% of significance?

6.0 Question 6

The number of vehicle registrations for the 7 months, July 2005 to January 2006 are shown below

1. Scatter plot
   Plot a scatter plot and comment
2. Derive the Linear regression equation
3. Correlation coefficient

Show that r ² = 0.457. What is the significance of this value?

6.4. Estimate Reliability

Estimate the number of new vehicle registrations for February 2006. Comment on the reliability of this estimate.

Price: $14.59

Solution: The downloadable solution consists of 7 pages, 759 words and 1 charts.
Deliverable: Word Document