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Sample mean and sample standard deviation for the given data set.

The number of spaces, X, one moves ones token when playing a certain board game is determined by using a spinner board marked off into three circular sectors : a sector corresponding to  is 240° wide, a sector corresponding to  is 90° wide, and a sector corresponding to ' is 30° wide.)

(a)   Find   E[X] = µx and Var[X] = µx2.

(b)   The designers of the game did 600 spins of the game spinner and obtained the following results

 

Spaces

Frequency

3

402

8

147

12

51

 

Find out the sample mean and sample standard deviation for number of spaces moved.

(c)   Under certain special conditions, a player is allowed to move a certain number of extra spaces.   The number of extra spaces, Y, is determined by flipping a coin: if the coin comes up tails the number of extra spaces one moves is 2; if the coin comes up heads the number of extra spaces is 4.

If W denotes the total number of spaces one moves under these special conditions, find out the mean and standard deviation of W.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M920890

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