Construct a probability distribution for the following data set, which represents the number of hours of students in a college slept previous night. Let the random variable x represent the number of hours of sleep.
Hours | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Students | 1 | 6 | 11 | 18 | 9 | 3 | 2 |
b) Calculate the expected value (mean), variance, and standard deviation of the probability distribution.
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