Final answer:
The probability problem involving symbol transmission errors is addressed using binomial distribution formulas, where sub-questions require calculations for specific scenarios around the number of errors over multiple transmissions.
Step-by-step explanation:
The student has presented a probability problem related to the transmission of symbols through a memory reader and various scenarios involving errors during the transmission. The situation can be modeled using binomial or Poisson distributions, depending on the details of each sub-question. Since the probability of error and the number of trials are provided, we will typically use the binomial distribution formula for discrete random variables, which is suitable for modeling the number of successes in a fixed number of independent Bernoulli trials.
To solve these problems, we use the formulas for the binomial distribution, which are P(X = k) = nCk * p^k * (1-p)^(n-k) for the probability of k successes in n trials, the mean μ = np, and the variance σ^2 = np(1-p), where p is the probability of success (symbol error in this case), nCk represents the binomial coefficient, and X is the random variable representing the number of successes (errors).