An evaluation of 300 restaurant was conducted. Each restaurant recieved a rating on a 3 point scale on typical meal price (1 least expensive to most expensive) and quality (1 lowest to 3 greatest quality). A cross tabulation on the rating data is shown. Forty two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants recieved the highest rating of 3 on both quality and meal price. A bivariate probability distribution for quality and meal price of a randomly selected restaurant  is provided. x is the wuality rating and y is the meal price.      Meal price (y)         1 2 3 Total Quality (x) 1 0.14 0.13 0.01 0.28   2 0.11 0.21 0.18 0.5   3 0.01 0.05 0.16 0.22   Total 0.26 0.39 0.35 1 A. Compute the expected value and variance for wuality rating, x. B. Compute the expected value and variance for meal price. y

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Author:Amos Gilat
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 An evaluation of 300 restaurant was conducted. Each restaurant recieved a rating on a 3 point scale on typical meal price (1 least expensive to most expensive) and quality (1 lowest to 3 greatest quality). A cross tabulation on the rating data is shown. Forty two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants recieved the highest rating of 3 on both quality and meal price. A bivariate probability distribution for quality and meal price of a randomly selected restaurant  is provided. x is the wuality rating and y is the meal price. 

    Meal price (y)    
    1 2 3 Total
Quality (x) 1 0.14 0.13 0.01 0.28
  2 0.11 0.21 0.18 0.5
  3 0.01 0.05 0.16 0.22
  Total 0.26 0.39 0.35 1

A. Compute the expected value and variance for wuality rating, x.

B. Compute the expected value and variance for meal price. y

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