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Let x be the number of cars that a randomly selected auto mechanic repairs on a given day. The following table lists the probability distribution

Let x be the number of cars that a randomly selected auto mechanic repairs on a given day. The following table lists the probability distribution of x.

x 2 3 4 5 6
0.01 0.22 0.48 0.21 0.08

Find the mean and the standard deviation of x. Round your answers to two decimal places. Mean = ? Standard deviation = ?

The mean of x can be interpreted as

the probability that an auto mechanic will repair at least one car per day.

the expected number of cars that an auto mechanic repairs per day on average.

the spread of its probability distribution.

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