Suppose two trials are independent, but the first has a probability 0.3 of success, and the second

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Suppose two trials are independent, but the first has a probability 0.3 of success, and the second a probability 0.7 of success. Find the probabilities of zero, one, and two successes, and compare with the binomial distribution with n = 2 and p = 0.5 (the average of the two probabilities). Does the expected number of successes match the binomial distribution? Does the variance?
The binomial distribution depends on two key assumptions: the trials must each have the same probability of success, and the trials must be independent. Show that the distribution of outcomes does not match the binomial distribution in the following cases.
Distribution
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