With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en
tire batch is rejected if there is at least one defective unit. The ABCD Electronics Company has just manufactured 7000 write-rewrite CDs, and 180 are defective. If 6 of these CDs are randomly selected and tested, what is the probability that the entire batch will be rejected
This means that at least one of the selected piece is defected.
So, we first calculate the probability that all the selected piece are accepted.
So, we have:
The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs
So, we have:
Using the complement rule, the probability that the batch will be rejected is:
The slope form: y = mx + b We have: 3x - 6y - 2 = 0 |add 6y to both sides 3x - 2 = 6y |divide both sides by 6 3x/6 - 2/6 = 6y/6 x/2 - 1/3 = y y = 1/2 x - 1/3
A circle is painted in the center of a basketball court. If the diameter of the circle is 12 feet, what is the approximate amount of space inside of the circle? (Use 3.14 as an approximation of pi.)
