A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the results and develops the probability distribution for a randomly selected student. What is the mean of the probability distribution? Probability Distribution Hours Studied: cap x Probability: cap p times cap x 0 point 5 0 point 0 7 1 0 point 2 1 point 5 0 point 4 6 2 0 point 2 2 point 5 0 point 0 7
Multiply each number of hours by its probability and add the products: (0.5)(0.07) + (1)(0.20) + (1.5)(0.46) + (2)(0.20) + (2.5)(0.07) = 1.50. The mean is 1.50 hours, so the correct choice is 1.50.
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