TS EAMCET · Maths · Probability
The probability distribution of a random variable \(X\) is given below
If mean of \(X\) is 4.2 , then \(a\) and \(b\) are respectively equal to
- A \(0.3,0.2\)
- B \(0.1,0.4\)
- C \(0.1,0.2\)
- D \(0.2,0.1\)
Answer & Solution
Correct Answer
(C) \(0.1,0.2\)
Step-by-step Solution
Detailed explanation
\( \text { We have } \) \( {rlrl} \Sigma P_j =a+a+a+b+b+0.3 \\ \Rightarrow 1 =3 a+2 b+0.3 \\ \Rightarrow 3 a+2 b =0.7 \\ \sum P_j x_j =a+2 a+3 a+4 b+5 b+1.8 \\ \Rightarrow 4.2 =6 a+9 b+1.8 \\ \Rightarrow 2 a+3 b =0.8 \) Solving Eqs. (i) and (ii), we get \( a=0.1, b=0.2 \)
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