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Question: Answered & Verified by Expert
Two dice are rolled. If a random variable $X$ is defined as the absolute difference of the two numbers that appear on them, then the mean of $X$ is
MathematicsProbabilityTS EAMCETTS EAMCET 2019 (03 May Shift 1)
Options:
  • A 0
  • B $\frac{13}{18}$
  • C $\frac{19}{9}$
  • D $\frac{35}{18}$
Solution:
1254 Upvotes Verified Answer
The correct answer is: $\frac{35}{18}$
Two dice are rolled $X=$ Absolute difference of two number


$$
\begin{aligned}
\mu(\text { Mean })=\Sigma P_i X_i & =\frac{0+10+16+18+16+10}{36} \\
& =\frac{70}{36}=\frac{35}{18}
\end{aligned}
$$

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