Question

A mail-order computer 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. X | 0 | 1 | 2 | 3 | 4 | 5 | 6 px(x) | 0.1 | 0.15 | 0.2 | 0.25 | 0.2 | 0.06 | 0.04 Calculate the probability of each of the following events. (1) {at most three lines are in use}; (2) {fewer than three lines are in use}; (3) {at least three lines are in use}; (4) {between two and five lines, inclusive, are in use}; (5) {between two and four lines, inclusive, are not in use}; (6) {at least four lines are not in use}.

          A mail-order computer 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.

X | 0 | 1 | 2 | 3 | 4 | 5 | 6
px(x) | 0.1 | 0.15 | 0.2 | 0.25 | 0.2 | 0.06 | 0.04

Calculate the probability of each of the following events.
(1) {at most three lines are in use};
(2) {fewer than three lines are in use};
(3) {at least three lines are in use};
(4) {between two and five lines, inclusive, are in use};
(5) {between two and four lines, inclusive, are not in use};
(6) {at least four lines are not in use}.

A mail-order computer 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.

X | 0 | 1 | 2 | 3 | 4 | 5 | 6
px(x) | 0.1 | 0.15 | 0.2 | 0.25 | 0.2 | 0.06 | 0.04

Calculate the probability of each of the following events.
(1) at most three lines are in use;
(2) fewer than three lines are in use;
(3) at least three lines are in use;
(4) between two and five lines, inclusive, are in use;
(5) between two and four lines, inclusive, are not in use;
(6) at least four lines are not in use.

Added by Kristen P.

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