Ahmed recently caught Covid-19. He had contact to 7 persons. Let X be the number of persons he infected, a discrete random variable. The probability distribution of X is as follows: 1 2 3 4 7 P(X) 0.079 0.203 0.079 0.118 0.28 0.021 0.01 0.21 Find the following probabilities (in 3 decimal places): (a) What is the probability that he infected more than 3 persons? (b) What is the probability that he infected 8 persons? (c) What is the probability that he did not infect anybody?

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