(Solution) - Let x be the number of successes observed in a -(2025 Original AI-Free Solution)

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Let x be the number of successes observed in a sample of n = 4 items selected from a population of N = 8. Suppose that of the N = 8 items, 5 are considered "successes."
a. Find the probability of observing all successes.
b. Find the probability of observing one success.
c. Find the probability of observing at most two successes.