Chrome File Edit Wew History Bookmarks People Window Help Math 1 105-01 . Statis

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Chrome File Edit Wew History Bookmarks People Window Help Math 1 105-01 . Statistics Sp ×Pa' cengigeNOW | Onine tochr xe Compute A Binomial Experim x comilrnMakeAs do?invoker Save ExitSubmit for Grading Hint(s) Check My Work eBlook Consider a probability distribution function: f(z) =which is valid for the values of X . 1, 2, 5, 6. a.Complete the following probability distribution table. (Enter your probabilities to 4 decimal places.) Value of X Probability x-5 b. Determine Ptxe 3.5). c. Determine Px23.5). d. Determine the expected value of X. e. Fill in the blanks for the formula you would use to calculate the variance of X. Hint The numerator of C(10,x) represents a combination function where n-10 and k x. See your Chapter 4 notes for how to calculate a combination. Once you calculate the value of the numerator, divide that answer by 517 to get the value of the function. ave Exit Submit Assignment for Grading MacBook Air

Explanation / Answer

a) P(X = 1) = C(10,1) / 517 = 10 / 517 = 0.0193

P(X = 2) = C(10,2) / 517 = 45 / 517 = 0.0871

P(X = 5) = C(10,5) / 517 = 252 / 517 = 0.4874

P(X = 6) = C(10,6) / 517 = 210 / 517 = 0.4062

b) P(X = 3.5) = 0

c) P(X > 3.5) = P(X = 5) + P(X = 6) = 0.4874 + 0.4062 = 0.8936

d) E(X) = 1 * 0.0193 + 2 * 0.0871 + 5 * 0.4874 + 6 * 0.4062 = 5.0677

e) (5.0677 - 1)2 + (5.0677 - 2)2 + (5.0677 - 5)2 + (5.0677 - 6)2 = 26.8307

Sample variance = 26.8307 / 3 = 8.9436

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