I need the answer as soon as possible 0 and P(k) = 1).ii) Suppose T = 0.3. Using the edf, what is the probability that at least the first3 persons did not vote John Smith? Write the proper notation...

I need the answer as soon as possible

Extracted text: Question 3 (a) Suppose you are outside a polling station during a local election and asking people if they voted for a specific independent candidate, John Smith. Consider the answer you get from each person follows a Bernoulli distribution with success rate TE (0,1), where success represents the event that a person voted for John Smith. Then, the geometric distribution would represent the variable X, which is the number of people you had to poll before you find someone who voted John Smith: p(X = k) = P(polled k persons before find someone voted for John) = (1-7)*7, Vk €N. i) Without computing any individual probability associated to each value that the random variable X could take on, show that the function above fulfills the nec- essary conditions in order to be defined as a probability mass function pmf (i.e. p(k) > 0 and P(k) = 1). ii) Suppose T = 0.3. Using the edf, what is the probability that at least the first 3 persons did not vote John Smith? Write the proper notation for defining the probability. Keep 3 decimal places. (b) Suppose the number of minutes someone spends inside the Birdcoop gym is distributed Exponentially with mean 30 minutes - that is, follows a Erponential() distribution. Assume that each person's time spent at the gym is independent from each other. Note that if X ~ Exponential(A) then the CDF is given by P(X