The table shows the number of overtime hours worked per week per employee. Use the frequency distribution to construct a probability distribution. Then find the mean, variance and standard deviation.
O/T 0 1 2 3 4 5 6 7
Empl 13 15 38 37 22 14 16 45
3) standard deviation
Please explain in details step by step so I can understand what I am doing.
In order to build the frequency distribution, we must first find the total number of observations. In order to do this, we sum all the frequencies from the table you gave:
Number of Observations = 13+15+38+37+22+14+16+45 = 200
Then, the probability of each outcome (each possible number of overtime hours) is calculated as:
(Frequency for that outcome)/(Number of Observations)
For example, there were 13 employees with 0 hours of overtime. So we conclude that the probability of an employee ...
This solution provides the calculation of a probability distribution given a frequency distribution.