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Please confirm if my answers are right Examine the probability distribution shown below. Complete parts a through d. x 5 1O 15 20 25 30

Please confirm if my answers are right

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Examine the probability distribution shown below. Complete parts a through d. x 5 1O 15 20 25 30 35 40 45 50 D P(x) 0.02 0.03 0.16 0.15 0.25 0.20 0.08 0.05 0.01 0.05 a. Calculate the expected value and standard deviation for this random variable. E(x) = (Type an integer or a decimal.) ox: 9.66 (Round to two decimal places as needed.) b. Denote the expected value as p. Calculate u - 0' and p + o. p - o- = 16.14 (Round to two decimal places as needed.) p + o- = 35.46 (Round to two decimal places as needed.) c. Determine the proportion of the distribution that is contained within the interval pt 0'. 0.68 (Type an integer or a decimal.) d. Repeat part c for (1) p :l: 20' and (2) p. :l: 36. (1) Determine the proportion of the distribution that is contained within the interval )1 :l: 26. 0.93 (Type an integer or a decimal.) (2) Determine the proportion of the distribution that is contained within the interval p. :l: 36. (Type an integer or a decimal.)

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