Sample mean-sample standard deviation for specific data set

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Reference no: EM1320293

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] = µ_x and Var[X] = µ_x².

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 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 the mean and standard deviation of W.

Reference no: EM1320293

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