(Solution) - It turns out that all four molecules are different and -(2025 Original AI-Free Solution)

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It turns out that all four molecules are different and that p1 = 0, p2 = 0.25, p3 = 0.75, and p4 = l. Find and graph the probability distribution for the total number inside. Find the expectation and the variance.
Unbeknownst to the experimenter, a cell contains two different types of molecule, one which is inside with probability p1 and the other which is inside with probability p2. Suppose there are two of each type of molecule.