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Use n = 6 and p = 0.15 to complete parts (a) through (d) below. (a) Construct a binomial probability distribution with the given

Use n = 6 and p = 0.15 to complete parts (a) through (d) below. (a) Construct a binomial probability distribution with the given parameters. P(x) X 0 1 2 3 4 5 6 (Round to four decimal places as needed.) (b) Compute the mean and standard deviation of the random variable using x = [[x P(x)] and x = [x P(x)]-H (Round to two decimal places as needed.) (Round to two decimal places as needed.) Hx = ox = (c) Compute the mean and standard deviation, using x = np and ox=np(1-p). (Round to two decimal places as needed.) (Round to two decimal places as needed.) Hx = 0x = (d) Draw a graph of the probability distribution and comment on its shape. Which graph below shows the probability distribution? OA. AP(x) 0.5- 0.25- I!! otort O B. AP(x) 0.5- 0.25- (...) O C. 0.5 0.25 AP(x) O D. 0.5- 0.25 P(x)

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