9709 P61 - Nov 2014 - Q2
2964
The number of phone calls, X, received per day by Sarah has the following probability distribution.
| x | 0 | 1 | 2 | 3 | 4 | ≥5 |
|---|---|---|---|---|---|---|
| P(X = x) | 0.24 | 0.35 | 2k | k | 0.05 | 0 |
- Find the value of k.
- Find the mode of X.
- Find the probability that the number of phone calls received by Sarah on any particular day is more than the mean number of phone calls received per day.
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