Mathematics, 25.10.2019 01:43 hannahsambrano12

The edge roughness of a slit paper products increases as knife blades wear. only 1% of products slit with new blades have rough edges, 3% of products shot with blades of average sharpness exhibit roughness, and 5% of the products slit with worn blades exhibit roughness. if 25% of the blades in manufacturing are new, 60% are of average sharpness, and 15% are worn blades.

a. what is the proportion of products that exhibit edge roughness?

b. if a paper was selected at random and found that it has rough edges, what is the probability that it was slit by a new knife blades?

c. if a paper was selected at random and found that it has rough edges, what is the probability that it was slit with a blade of average sharpness blades or worn blades?

Answers: 2

Show answers

Answers

Answer from: deena7

a) 2.8% of products exhibit edge roughness.

b) If a paper has rough edges, there is an 8.93% probability that it was slit by a new knife blades.

c) If it has rough edges, there is a 91.07% probability that it was slit with a blade of average sharpness blades or worn blades.

Step-by-step explanation:

We have these following probabilities:

A 25% probability that the blade is new

A 60% probability that the blade is of average sharpness.

A 15% probability that the blade is worn.

If a blade is new, a 1% probability that it has rough edges.

If a blade is of average sharpness, a 3% probability it has rough edges.

If a blade is worn, a 5% probability it has rough edges.

a. What is the proportion of products that exhibit edge roughness?

This is

$P = P_{1} + P_{2} + P_{3}$

$P_{1}$ are those that are new and exhibit edge roughness. So $P_{1} = 0.25*0.01 = 0.0025$

$P_{2}$ are those of average sharpness that exhibit rough edges. So $P_{2} = 0.6*0.03 = 0.018$

$P_{3}$ are those that are worn and exhibit rough edges. So $P_{3} = 0.15*0.05 = 0.0075$

$P = P_{1} + P_{2} + P_{3} = 0.0025 + 0.018 + 0.0075 = 0.028$

2.8% of products exhibit edge roughness.

b. If a paper was selected at random and found that it has rough edges, what is the probability that it was slit by a new knife blades?

From a), we found that there is a 0.028 probability that it has rough edges.

Also, there is a 0.0025 probability that it was slit by a new knife blades and have rough edges. So

$P = \frac{0.0025}{0.028} = 0.0893$

If a paper has rough edges, there is an 8.93% probability that it was slit by a new knife blades.

c) If a paper was selected at random and found that it has rough edges, what is the probability that it was slit with a blade of average sharpness blades or worn blades

From a), we found that there is a 0.028 probability that it has rough edges.

Also, there is a 0.018 probability that it was sliced with a blade of average sharpness and has rough edges and an 0.0075 probability that it was slices with worn blades and has rough edges. So

$P = \frac{0.018 + 0.0075}{0.028} = 0.9107$

If it has rough edges, there is a 91.07% probability that it was slit with a blade of average sharpness blades or worn blades.

Answer from: Quest

The correct answer would be "convenience"

Answer from: Quest

answer: your gay

step-by-step explanation:

you dont know math

Another question on Mathematics

Mathematics, 21.06.2019 14:30

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

Answers: 1

Answer

Mathematics, 21.06.2019 16:00

Drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. the heights of the girls in an advanced swimming course are 55, 60, 59, 52, 65, 66, 62, and 65 inches. match the measures of this data with their values.

Answers: 1

Answer

Mathematics, 21.06.2019 17:00

Ajar of gumballs contains 4 reds, 2 greens, and 6 blues. what is the probability of getting two blues in a row without replacement?

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

Sum is 17 and their difference is 3

Answers: 1

Answer

You know the right answer?

The edge roughness of a slit paper products increases as knife blades wear. only 1% of products slit...