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Two numbers are selected at random (with...

Two numbers are selected at random (without replacement) from first 7 natural numbers. If X denotes the smaller of the two numbers obtained, find the probability distribution of X. Also, find mean of the distribution.

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To solve the problem, we need to find the probability distribution of the random variable \(X\), which represents the smaller of the two randomly selected numbers from the first 7 natural numbers (1 to 7). We will also calculate the mean of this distribution. ### Step-by-Step Solution: 1. **Identify the Sample Space:** The first 7 natural numbers are: \[ S = \{1, 2, 3, 4, 5, 6, 7\} ...
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