Relax! A recent survey asked  1678  people how many hours per day they were able to relax. The results are presented in the following table. Number of Hours Frequency 0 112 1 185 2 337 3 254 4 318 5 230 6 150 7 30 8 62 Total 1678 Send data to Excel Consider these 1678 people to be a population. Let  X  be the number of hours of relaxation for a person sampled at random from this population.   Part 1 of 5     (a) Construct the probability distribution of  X . Round the answer to three decimal places. x 0 1 2 3 4 5 6 7 8 P ( x ) .067 .110 .200 .151 .190 .137 .090 .018 .037       Part 2 of 5     (b) Find the probability that a person relaxes more than  6  hours per day. The probability that a person relaxes more than  6  hours per day is  .04 .( Round the answer to three decimal places.)       Part 3 of 5     (c) Find the probability that a person doesn't relax at all. The probability that a person doesn't relax at all is  0 .( Round the answer to three decimal places.)       Part 4 of 5     (d) Compute the mean  μx . Round the answer to two decimal places. μx   =           Part 5 of 5     (e) Compute the standard deviation  σx . Round the answer to three decimal places.

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