counting techniques and probability - Statistics and probability 1) A production company employs 20 workers in the day shift, 15 in the afternoon shift and 10 in the midnight shift. A quality control consultant is going to select 6 of these workers for in-depth interviews. Suppose that the selection is made in such a way that any particular group of 6 Workers have the same chance of being selected as any other group (drawing 6 slips out of 45 without replacing them). a) How many selections will result in the 6 selected workers coming from the day shift? b) What is the probability that the 6 selected workers are from the same shift? c) What is the probability that at least two different shifts will be represented among the selected workers?
counting techniques and probability - Statistics and probability
1) A production company employs 20 workers in the day shift, 15 in the afternoon shift and 10 in the midnight shift. A quality control consultant is going to select 6 of these workers for in-depth interviews. Suppose that the selection is made in such a way that any particular group of 6 Workers have the same chance of being selected as any other group (drawing 6 slips out of 45 without replacing them).
a) How many selections will result in the 6 selected workers coming from the day shift?
b) What is the probability that the 6 selected workers are from the same shift?
c) What is the probability that at least two different shifts will be represented among the selected workers?
Step by step
Solved in 3 steps
