For Accept, there must be: 0, 1, 2, 3, 4, or 5 defective boards in the lot.A manufacturer of electronic appliances buys circuit boards from an outside vendor.
The boards are shipped in large lots, with several thousand circuit boards per lot.
When each lot is received, a random sample of 30 boards is selected
and tested to see if the circuitry performs correctly.
If more than 5 of the circuit boards in the sample fail the testing,
then the entire lot is rejected and is shipped back to the vendor.
Suppose that 8% of the circuit boards in a newly shipped lot are defective.
Using the sampling plan described above, calculate the probability
that this lot will be accepted by the appliance manufacturer.
Round your answer to at least three decimal places.
We must determine the probability of each case . . .
. . . . .
. . . and add them.