MHT CET · Maths · Probability
The following is the probability distribution of X
| X | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| \(P(\mathrm{X}=x)\) | \(\frac{1+\mathrm{p}}{5}\) | \(\frac{2-2 \mathrm{p}}{5}\) | \(\frac{2-\mathrm{p}}{5}\) | \(\frac{2 \mathrm{p}}{5}\) |
For a minimum value of p, the value of \(5 \mathrm{E}(\mathrm{X})\) is
- A \(5\)
- B \(6\)
- C \(7\)
- D \(8\)
Answer & Solution
Correct Answer
(B) \(6\)
Step-by-step Solution
Detailed explanation
\(P(\mathrm{X}=x) \ge 0 \Rightarrow \frac{1+\mathrm{p}}{5} \ge 0, \frac{2-2\mathrm{p}}{5} \ge 0, \frac{2-\mathrm{p}}{5} \ge 0, \frac{2\mathrm{p}}{5} \ge 0\) \(p \ge -1, p \le 1, p \le 2, p \ge 0 \Rightarrow 0 \le p \le 1\)
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