4.Let p >0 be the probability that any particular code symbol is erroneously transmitted trough a communication system. Assume than on different symbols errors occur independently of one another. Suppose that with probability q an erroneous symbol is corrected upon receipt. If X denotes the number of correct symbols in a message consisting of a total of n symbols after the correction process has been completed. The message is meant to be an array of length n, in which a symbol may be used more than once. Find the density of X and the CDF of X.
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