MHT CET · Maths · Probability
A random variable \(\mathrm{X}\) has following distribution
Then \(\mathrm{P}(2 \leq \mathrm{x} < 5)=\)
- A \(\frac{7}{25}\)
- B \(\frac{3}{5}\)
- C \(\frac{24}{25}\)
- D \(\frac{23}{25}\)
Answer & Solution
Correct Answer
(B) \(\frac{3}{5}\)
Step-by-step Solution
Detailed explanation
We have \(\mathrm{k}+3 \mathrm{k}+5 \mathrm{k}+7 \mathrm{x}+8 \mathrm{k}+\mathrm{k}=1 \Rightarrow \mathrm{k}=\frac{1}{25}\)
\(\therefore \mathrm{P}(2 \leq \mathrm{x} \leq 5)=\frac{1}{25}(3+5+7)=\frac{15}{25}=\frac{3}{5}\)
\(\therefore \mathrm{P}(2 \leq \mathrm{x} \leq 5)=\frac{1}{25}(3+5+7)=\frac{15}{25}=\frac{3}{5}\)
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