Solution for questions 1 and 2 please. Thank you 1. (Spts) Employees in an offic

Question

Solution for questions 1 and 2 please. Thank you

1. (Spts) Employees in an office can print using any one of five printers: A, B, C, D, and E Assuming that any employee is equally likely to select any one of the five printers, find the probability that among 12 employees issuing a printing order, 2 will select printer A 4 will select printer B, 3 will select printer C, 2 will select printer D, and 1 will selesct printer E 2. (25pts- Spts each) A certain communication system has an average of one transmission error every 10 seconds. Find the probability that at least I transmission error occurs in 5 seconds? b. Find the probability that 4 transmission errors occur in half a minute? If 8 such systems are selected, find the probability that six of them will have 4 transmission errors occurring in half a minute? d. Find the mean of the number of transmission errors to occur in 6 minutes? e. Find the standard deviation of the number o transmission errors to occur minutes? 3. (10 pts-Spts each) A company has bought 20 laptops from a manufacturer. The manufacturer advises them that 8 of these laptops have a defect. They take a random sample of 5 laptops a. b. What is the probability that at most one of the laptops in the sample will have a What is the probability that exactly 3 of the laptops in the sample have a defect? 4, (25pts-5pts each) From recent experience, 9 % ofthe computer keyboards produced by an automatic high-speed machine are defective. a. Find the probability that out of 7 keyboards selected at random, 4 keyboerds will be defective? b. Find the probability that the third defective keyboard is the ninth to be selected? c. Find the probability that the first defective keyboard is the tenth to be selected? d. If 100 keyboards are selected, find the mean and standard deviation of the number of defective keyboards? e. If 10 keyboards are selected and using Chebychev's theorem, find the value c such that P(x-0.91 c) ? 25 5. (10 pts) If x is a random variable with a Poisson distribution satisfying

Explanation / Answer

We are allowed to do only 1 question at a time. Please post again for other questions.

1) Total ways of selecting = 5^12 as each can select any of the 5 printers

Now, out of 12, 2 can select A in 12C2 ways.

Similarly for others left

Probability = (12C2 * 10C4 * 6C3 * 3C2 * 1C1)/5^12

P = 0.0034

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