(1) Page 239 of the textbook. Questions 4.7.1 and 4.7.2 2) The number of pumps i
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(1) Page 239 of the textbook. Questions 4.7.1 and 4.7.2 2) The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possble values for each of the following random variables. a. T= the total number of pumps in use b. X-the difference between the numbers in use at stations I and2 c. U the maximum number of pumps in use at either station d. Z- the number of stations having exactly two pumps in use (3) A mail-orde r computer business has five 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. P 10 15 20 25 22 08 Calculate the probability of each of the following events. a. (at most 3 lines are in use) b. (fewer than 3 lines are in use) c. fat least 3 lines are in use) d. (between 2 and 5 lines, inclusive, are in use e. (between 2 and 4 lines, inclusive, are not in use) f (at least 4 lines are not in use) ted X value 3. There are 15Explanation / Answer
3. a) P(atmost 3 lines are in use) = 0.1+0.15+0.2+0.25 = 0.7.
b) P(fewer than 3 lines are in use) = 0.1+0.15+0.2 = 0.45.
c) P(atleast 3 lines are in use) = 0.25+0.22+0.08 = 0.55.
d) P(between 2 and 5 lines, incluse are in use) = 0.2+0.25+0.22+0.08 = 0.75.
e) P( between 2 and 4 lines, incluse are not in use) = 1-(0.2+0.25+0.22) = 0.33.
f) P(atleast 4 lines are not in use) = P(1 in use) +P(0 in use) = 0.15+0.1 = 0.25.
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