Question: Suppose p1 = 0.6 and p2 = 0.8. Find and graph the probability distribution for the total number inside. Find the expectation and the variance

Suppose p1 = 0.6 and p2 = 0.8. Find and graph the probability for the total number inside. Find the expectation and the variance (this can be written as the sum of two binomial random variables).
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.

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