MHT CET 2024 Mathematics question
A random variable X takes the value 0, 1, 2, 3 and its mean is 1·3. If P (X=3) = 2 P (X=1) and P(X=2) = 0·3, then P (X=0) is
Answer: (D)
Solution
Let , so , and let . Total probability: ... (i). Mean: . Substituting in (i): .
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