A mail-order company business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table. 1 2 3 4 5 6 p(x) 0.11 0.15 0.20 0.25 0.19 0.09 0.01 Calculate the probability of each of the following events. (a) {at most three lines are in use} 0.71 (b) {fewer than three lines are in use} 0.46 (c) {at least three lines are in use} 0.54 (d) {between two and five lines, inclusive, are in use} (e) {between two and four lines, inclusive, are not in use} (f) {at least four lines are not in use}

Q: Could you please provide another counter example a simpler one thank you!

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Q: May you please write clearer, i don't understand step b and c.

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A: Please find the explanation below. Thank you

Q: okay can you also do part b now.

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Q: what is the answer for the first question

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Q: Thanks for the help! I was also wondering how I would know that the answer would be meaningful?

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Q: ARE YOU SURE ABOUT PART 2 ?

A: which is constant.

Q: what about questions 4-15?

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Q: Can you teach people a simpler way to do this?

A: Here, I have taken marked price as $100.

Q: can you do part 2 of the question and part 3

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Q: Could you explain part(b) as well?

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Q: cleared

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