Suppose the daily customer volume at a call center has a normal distribution with mean 5,500 and standard deviation 1,000. What is the probability that the call center will get between 4,800 and 5,000 calls in a day? Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).
Suppose the daily customer volume at a call center has a normal distribution with mean 5,500...
Suppose the daily customer volume at a call center has a normal distribution with mean 4,900 and standard deviation 700. What is the probability that the call center will get fewer than 4,400 calls in a day? Please specify your answer in decimal terms and round your answer to the nearest hundredth
1. Suppose the variable x is represented by a standard normal distribution. What is the probability of x < -0.6? Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12). 2. The mean is 55.3 and the standard deviation is 9.2 for a population. Using the Central Limit Theorem, what is the standard deviation of the distribution of sample means for samples of size 65?
At a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 120 calls and a standard deviation of 5 calls. What is the probability that during a given hour of the day there will be less than 132 calls, to the nearest thousandth?
Expand Daniel was recently hired at an electronics call center that receives thousands of incoming calls each day. Assume that the number of daily incoming phone calls is very nearly normally distributed with an unknown mean pu and an unknown standard deviation ơ. Daniel examines the call logs from a simple random sample of n days. He records the total number of calls on each of these days and calculates the mean number of calls per day, I, for the...
A company has a customer services call centre. The company believes that the time taken to complete a call to the call centre may be modelled by a normal distribution with mean 16 minutes and standard deviation σ minutes. Given that 10% of the calls take longer than 22 minutes, (a) show that, to 3 significant figures, the value of σ is 4.68.(3) (b) Calculate the percentage of calls that take less than 13 minutes.(1) A supervisor in the call centre claims that the mean...
The daily demand for coffee in a coffee shop approximately has a normal distribution with mean 220 cups and standard deviation 40. Assuming that the demands in different days are independent, what is the probability that the average demand in the next five days exceeds 240? ( Hint: Sum of five independent normal variables have also a normal distribution N(220, 40^2 /5), standard deviation=sqrt(40^2 /5). Use pnorm )
The length of incoming calls at the call center of a major telecommunication service provider follows a Normal distribution with an average of 7.5 minutes. If the standard deviation of the distribution is 5 minutes, answer the following questions: What is the probability that the length of an incoming call is longer than 9.5 minutes? What is the probability that the length of an incoming call is shorter than 6 minutes? What is the probability that the length of an...
Suppose on a given week, the call center is able to answer 4,547 calls within two minutes out of an average call volume of n=5,000 calls. Would you be able to be 95% certain that this sampled data proved the call center was answering over 90% of calls within two minutes? Justify your answer by using confidence intervals.
2a) Based on a normal probability distribution, answer the following questions: Belkis scored 32 on a test for which the mean was 35 and the standard deviation was 8. While Bernadine scored 70 on a comparable test for which the mean was 76 and the standard deviation was 11. Calculate the z-score of Belkis. Write your answer correct to the nearest hundredth (two decimal places). 2b) Based on a normal probability distribution, answer the following questions: Belkis scored...
Assume that the heights of U.S. women follow a normal distribution with mean height of 5.53 feet and a standard deviation of 8 feet. What is the probability that a randomly selected woman has a height less than 5.53? Round to the nearest hundredth.