Question: The quality-control department at a sewing machine factory has determined that 1 out of 40 machines does not pass inspection. Let X be the number

The quality-control department at a sewing machine factory has determined that 1 out of 40 machines does not pass inspection. Let X be the number of machines on an assembly line that pass inspection before a machine is found that fails inspection.

(a) Write the formula for Pr (X = n).

(b) What is the probability that, of five machines coming off the assembly line, the first four pass inspection and the fifth does not?

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