TO pts) Cacate ie anue eäfil, géometric mean, mode, and median of the data. b) (
ID: 3048987 • Letter: T
Question
TO pts) Cacate ie anue eäfil, géometric mean, mode, and median of the data. b) (10 pts) Calculate the range, quartiles, and standard deviation. c) (10 pts) Construct a grouped data frequency distribution. d) (10 pts) Draw a boxplot indicating the 5 number summary and comment on the skewn the distribution. 2. Two fair dice are rolled. Let X= the minimum. number on the 2 dice (e.g., x(1,2) = 1,X(3,3) = 3, etc.). a) (10 pts) Determine the probability distribution of X. b) (10 pts) Calculate the expected value of X. c) (10 pts) Calculate the standard deviation of X. 3. a) (10 pts) Eight horses are entered in a race. You randomly predict a horses to finish. What is the probability that your prediction is correct? h) (10 nts) A particular iPod playlist contains 100 songs, 10 of which are by Bey nar in random order. What is the probabExplanation / Answer
Solution
2) sample space for X = {1,2,3,4,5,6}
(a) Probability distribution for X
(b) E(X) = (1)(11/36)+(2)(9/36)+(3)(7/36)+(4)(5/36)+(5)(3/36)+(6)(1/36) = 2.5278
(c) Variance = E(X2)-(E(X))2
E(X2) = (1)(11/36)+(4)(9/36)+(9)(7/36)+(16)(5/36)+(25)(3/36)+(36)(1/36) =8.3611
Standard dev = 1.4040
X 1 2 3 4 5 6 P(X=x) 11/36 9/36 7/36 5/36 3/36 1/36Related Questions
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