2. Suppose you have a random variable X ~ Binomial (120, 0.2). 2a. Calculate and report...

 

 

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2. Suppose you have a random variable X ~ Binomial (120, 0.2). 2a. Calculate and report the mean and standard deviation of the distribution. 2b. Calculate and report the probability that the random variable is exactly equal to 20, P(X = 20). 2c. Calculate and report the probability that equals 20 or more, P(X > 20). 2d. Draw a graph of the binomial distribution with vertical lines at the mean (red and dashed), and 1, 2, and 3 standard deviations above and below the mean (red and dotted). 2. Suppose you have a random variable X ~ Binomial (120, 0.2). 2a. Calculate and report the mean and standard deviation of the distribution. 2b. Calculate and report the probability that the random variable is exactly equal to 20, P(X = 20). 2c. Calculate and report the probability that equals 20 or more, P(X > 20). 2d. Draw a graph of the binomial distribution with vertical lines at the mean (red and dashed), and 1, 2, and 3 standard deviations above and below the mean (red and dotted).