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Customers arrive to the company at a rate, on average, of one per hour with a Poisson distribution. The company is staffed by a single individual(the owner) who takes on average 30 minutes with each customer with a standard deviation of 15 minutes.
a. The owner would like the average wait time to be at most around 10minutes. How much time can he spend with each customer, on average, to meet this goal? Assume the standard deviation of the service time is still 15 minutes.
b. On average, how many customers are in the agency at any time?
c. What percent of the time does the owner spend with customers?
In an article entitled "Fuel Economy Calculations to Be Altered," James R. Healey indicated that the government planned to change how it calculates fuel economy for new cars and trucks.
An investment project is expected to earn $100,000 on average with a standard deviation of $50,000. Assume earnings from this investment project is a normal distribution. Of the next 15 people that invest in this project, what is the probability t..
The following data shows the packages gathered for delivery for ten days and the proportion of packages received not delivered to the customers at expected time.
Dana and Cathy are playing tennis. The probability that Dana wins at least one out of two ames is 0.3. What is the probability that Dana wins at least one out of four?
Carry out a t-test to see if the mean healing rate is significantly lower in the experimental limbs, including all 12 newts. What are the test statistics and their P-values?
We desire to test at 0.05 level of significance whether modification increases the life of battery. What is our decision rule? Reject null hypothesis if calculated t is less than 1.96.
Workers at a large toxic clean up project are concerned that their white blood cell counts may have been reduced. Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood in a healthy adult.
Twelve case of leukemia are reported in people living in a particular census tract over a five year period. Is this number of cases abnormal if only 6.7 cases would be expected based on national cance-incidence rates?
If random samples, each with n = 4 scores, are selected from a normal population with MK = 80 and o=10
Use the method of least squares to model the relationship between x and y.
What is the probability that no more than two of the three are commercial successes?
A statistical analysis of 1,000 long-distance calls made from the headquarters of the Bricks and Clicks Computer Corporation indicates that the length of these calls is normally distributed with μ = 240 seconds and σ = 40 seconds.
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