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.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

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step-by-step explanation: