The mean of the probability distribution function given by the following table will be:\begin{center}\begin{tabular}{|c|c|c|c|c|c|}\hline x & 1 & 2 & - Mathematics MCQ Mathematics Mock Test - 2 2026 | ExamTest.live

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The mean of the probability distribution function given by the following table will be:\begin{center}\begin{tabular}{|c|c|c|c|c|c|}\hline & 1 & 2 & 3 & 4 & 5 \ \hline & 0.2 & 0.35 & 0.25 & 0.15 & 0.05 \ \hline\end{tabular}\end{center}

Solution & Step-by-step Explanation

The mean (expected value) of a discrete random variable is given by E (X) = \sum x_{i} P (x_{i}) .Calculation: E (X) = (1 \times 0.2) + (2 \times 0.35) + (3 \times 0.25) + (4 \times 0.15) + (5 \times 0.05) E (X) = 0.2 + 0.7 + 0.75 + 0.6 + 0.25 E (X) = 0.9 + 0.75 + 0.6 + 0.25 E (X) = 1.65 + 0.85 = 2.5

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The mean of the probability distribution function given by the following table will be:\begin{center}\begin{tabular}{|c|c|c|c|c|c|}\hline & 1 & 2 & 3 & 4 & 5 \ \hline & 0.2 & 0.35 & 0.25 & 0.15 & 0.05 \ \hline\end{tabular}\end{center}

2.5

3.2

2.7

None of these

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