An urn contains three quarters, six dimes, and two pennies. (a) Randomly pick a coin from the urn and let X1 denote its value in cents. Compute E(X1) and V ar(X1). (b) Let X1, X2, . . . , Xn be a random sample with replacement from this urn. Let X¯ = (1/n) SUMMATION from k=1 to n, Xk. Compute E(X¯) and V ar(X¯).
An urn contains three quarters, six dimes, and two pennies. (a) Randomly pick a coin from the urn and let X1 denote its value in cents. Compute E(X1) and V ar(X1). (b) Let X1, X2, . . . , Xn be a random sample with replacement from this urn. Let X¯ = (1/n) SUMMATION from k=1 to n, Xk. Compute E(X¯) and V ar(X¯).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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An urn contains three quarters, six dimes, and two pennies.
(a) Randomly pick a coin from the urn and let X1 denote its value in cents. Compute E(X1) and V ar(X1).
(b) Let X1, X2, . . . , Xn be a random sample with replacement from this urn. Let X¯ = (1/n) SUMMATION from k=1 to n, Xk. Compute E(X¯) and V ar(X¯).
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