Question

An HR manager of a company has determined the probability distribution of X, the number of employees absent per day, given below: | x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |---|---|---|---|---|---|---|---|---| | P(x) | 0.025 | 0.005 | 0.340 | 0.310 | 0.220 | 0.080 | 0.019 | 0.001 | Calculate the following probabilities: (a) P(X ? 1). (b) P(X < 5). (c) P(1 < X < 7). (d) P(3 ? X ? 6). (e) P(X > 3).

          An HR manager of a company has determined the probability distribution of X, the number of employees absent per day, given below:

| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|---|
| P(x) | 0.025 | 0.005 | 0.340 | 0.310 | 0.220 | 0.080 | 0.019 | 0.001 |

Calculate the following probabilities:
(a) P(X ? 1).
(b) P(X < 5).
(c) P(1 < X < 7).
(d) P(3 ? X ? 6).
(e) P(X > 3).