Final answer:
To find the probability that X = 1 in a geometric distribution with p = 0.8, we can use the formula P(X = k) = (1 - p)^(k-1) * p. Plugging in the values, we get P(X = 1) = 0.8.
Step-by-step explanation:
The geometric distribution is a probability distribution used to calculate the probability of getting exactly a certain number of Bernoulli trials before a success occurs, where each trial has the same probability of success. In this case, we have a geometric distribution with p = 0.8. To find the probability that X = 1, we can use the formula P(X = k) = (1 - p)^(k-1) * p. Plugging in the values, we get P(X = 1) = (1 - 0.8)^(1-1) * 0.8 = 0.8.