The mills at a carpet company produce, on average, one flaw in every 500 yards of material produced; the carpeting is sold in 100-yard rolls. if the number of flaws in a roll follows a poisson distribution and the quality-control department rejects any roll with two or more flaws, what percent of the rolls are rejected?

1.76% of the rolls are rejected.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given interval.

In this problem, we have that:

The mills at a carpet company produce, on average, one flaw in every 500 yards of material produced; the carpeting is sold in 100-yard rolls. This means that for each 100 yard rolls, there are expected 0.2 failures. So .

If the number of flaws in a roll follows a Poisson distribution and the quality-control department rejects any roll with two or more flaws, what percent of the rolls are rejected?

This is .

Either the number of failures is lesser than two, or it is two or greater. The sum of the probabilities of these events is decimal 1.

In which

.

.

Finally

1.76% of the rolls are rejected.

hey! so 1 (25) out of 4 (100) is 25 so your answer is 25%. it's like quarters!