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Part 11)) An electronics company is about to launch a new product. If the serial numberfor each piece produced has the followingformat: LLNNN where L stands for anyletter in the English alphabet and N is a number from 0 to 9, please answer thefollowing:a) What is the name of the counting rule used to find all the possible outcomes?b) How many different items can be uniquely numbered?2) A company needs to select an expert group of consultants to provide advicefor a given project. How many possible selections consisting of 2 project managers, 2legal advisors, 4 computer scientists and 3 systems engineers can be selected if thecompany can pick from 4 project managers, 7 legal advisors, 5 computer scientistsand 6 systems engineers? Think carefully about the counting rules involved beforeattempting to do any calculations.3) Consider that you are a line manager in your current Corporation. There is a0.50 probability that you will be promoted this year. There is a 0.65 probability thatyou will get a promotion or a raise. The probability of getting a promotion and a raiseis 0.35. (Use letter P to denote promotion and letter R to denote raise.)a. If you get a promotion, what is the probability that you will also get a raise?b. What is the probability that you will get a raise?
Find a 90% confidence interval for the population mean salary of such personnel. What is the margin of error.
What is the 95% confidence interval for the proportion of all delinquent customer accounts at this manufacturing company?
Wall Street securities firms paid out record year-end bonuses of $125,500 per employee for 2005 (Fortune, February 6, 2006). Suppose we would like to take a sample of employees at the Jones & Ryan securities firm to see whether the mean year-end b..
It is better to use the median rather than the mean for a distribution when:
In testing the difference between two means from two independent populations, the sample sizes do not have to be equal to be able to use the Z statistic.
A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years, respectively.
Assume you randomly sample one mouse from the colony. The probability his age will be between 55 and 70 days is?
Find the probability (type answer as an integer or simplified fraction) of a couple having a baby boy when their fifth child is born, given that the first four children were all boys.
Recognizing that the hike to the campsite is a long one, a limit of 35 pounds has been set as the maximum total weight of the items to be carried. Formulate this as a LP problem to maximize the total utility of items carried.
The researcher found that Lincoln's educational score did not correlate with the expected variables.
What are the expected value and standard deviation of the number of small aircraft that arrive during a 90-min period?
What is the probability that the sample mean breaking strength of a random sample of 100 pieces of fabric is less than 1 .8 kg/mm?
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