Compute the mean-variance and standard deviation

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a. The personnel manager of Cumberland Pig Iron Company is studying the number of on the-job accidents over a period of one month. He developed the following probability distribution. Compute the mean, variance, and standard deviation of the number of accidents in a month.

number of accidents probability

0 40
1 20
2 20
3 10
4 10

b. The Downtown Parking Authority of Tampa, Florida, reported the following information fora sample of 250 customers on the number of hours cars are parked and the amount they are charged.

number of hours Frequency Ammount Charged

1 20 $3.00
2 38 6.00
3 53 9.00
4 45 12.00
5 40 14.00
6 13 16.00
7 5 18.00
8 36 20.00
250

Convert the information on the number of hours parked to a probability distribution.

1. Is this a discrete or a continuous probability distribution?

2. Find the mean and the standard deviation of the number of hours parked. How would you answer the question: How long is a typical customer parked?

3. Find the mean and the standard deviation of the amount charged.

Reference no: EM132989900

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