CUET · MATHS · PYQ PAPER 2023
In a meeting, 70% of the members favour and 30% oppose a certain proposal.
A member is selected at random and we take X = 0 if he opposed, and X = 1 if he is in favour.
Then, E(X) is:
- A \(\frac{7}{10}\)
- B \(\frac{1}{2}\)
- C \(\frac{1}{3}\)
- D \(\frac{7}{11}\)
Answer & Solution
Correct Answer
(A) \(\frac{7}{10}\)
Step-by-step Solution
Detailed explanation
\( P(X=0) = 0.3 \) \( P(X=1) = 0.7 \) \( E(X) = (0 \times 0.3) + (1 \times 0.7) \) \( E(X) = 0 + 0.7 \) \( E(X) = 0.7 \) \( E(X) = \frac{7}{10} \)
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