Suppose that a fair coin is flipped five times. Define the random variable X = the number of heads that are flipped. (

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Suppose that a fair coin is flipped five times. Define the random variableX = the number of heads that are flipped.(a) Determine the formula for the probability distribution, f of X.(b) Compute f(k) for k = 0, 1, , 2, ...5.(c) Draw a picture to represent the distribution as a bar graph where the areas ofeach rectangle correspond to the probabilities.