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Problem:
a. According to a Business week poll of 1035 adults, 40% of those surveyed agreed strongly with the proposition that business has too much power over American life (Business Week, September 2000). Assume this percentage is representative of the true population. In a sample of 10 individuals taken from the population, what is the probability that at least five of these individuals will feel that business has too much power over American life?
b. Suppose phone calls for assistance arrive at a rate of 48 per hour at the complaints desk of a company's after sale service department.
i. Compute the probabilities of receiving exactly 10 calls, 15 calls and 20 calls in 15 minutes.
ii. Suppose no calls are currently on hold. If the agent takes five minutes to complete the current call, how many callers do you expect to be waiting by that time? What is the probability that: (a) none and (b) exactly two will be waiting?
iii. If no calls are currently being processed, what is the probability that the agent can take three minutes for personal time without being interrupted by a call? What is the probability that he will receive only one call during these three minutes?
1) A certain brand of batteries has a lifetime that has a normal distribution with a mean of 3,800 hours and a standard deviation of 390 hours. b) What lifetime should the manufac
How can we apply matrix algebra in various decision models in business and management?
regression line drawn asY=C+1075x,when x was 2,and y was239,given that y intercept was11.calculate the residual.
Question 1 Water resources in many parts of Australia are being closely watched and restrictions have been imposed on activities such as garden watering. Suppose that SA Water
what type of analysis is suitable for nominal data?
a). Show that if a random variable has a uniform density with the parameters a and ß, the probability that it will take on a value less than a+p(ß-a) is equal to p b). Prove that t
Problem 1 . Let X 0 ;X 1 ;X 2 . . . be a Markov chain with state space f1; 2g and transition probabilities given as follows: p 11 = 0:3; p 12 = 0:7; p 21 = 0:5; p 22 = 0:5:
2. Two disks, each of radius 10.0 cm, are charged so that one has a charge of +10.0 nC and the other has a charge of -10.0 nC. The disks are then placed with their flat faces facin
Lifts usually have signs indicating their maximum capacity. Consider a sign in a lift that reads “maximum capacity 1400kg or 20 persons”. Suppose that the weights of lift-users are
Statistical process control, a methodology used for controlling and improving the outcomes of operational processes, has been in use for almost 100 years! It was widely used in ma
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