Exercise 10 described a large sample survey that asked a sample of people aged 19 to 25 years, “In the past seven days, how many times did you go to an exercise or fitness center or work out?” The response Y for a randomly selected survey respondent has the probability distribution shown here. From Exercise 10, E(Y) = 1.03. Find the standard deviation of Y. Interpret this value.

Exercise 10.

    

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Days y; 1 2 3 4 5 6 7 Probability p; 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02