Question
Divide the number 30 into two parts such that their product is maximum.
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| X | 0 | 1 | 2 | 3 | 4 |
| P(X = x) | 0.1 | k | 2k | 2k | k |
Find k and P[X < 2]
$\frac{20+12 e^x}{3 e^x+4}$