The number of flaws om bolts of cloth in textile manufacturing is assumed to be Poisson distributed with a mean of 0.1 flaw per square meter.

a) What is the probability that there are two flaws in 1 square meter of cloth?
b) What is the probability that there is one flaw in 10 square meters of cloth?
c) What is the probability that there are no flaws in 20 square meters of cloth?
d) What is the probability that there are at least two flaws in 1000 square centimeters of cloth?

A( 0, 2), B (2, 5), and C (−1, 7)

The length sides of the triangle are

AB , AC and BC

For AB A( 0, 2), B (2, 5)

| AB | = √ ( 2 - 0)² + ( 5 - 2)²

= √ 2² + 3² = √ 4 + 9

= √13 units

For AC A( 0, 2), C (−1, 7)

| AC | = √ ( - 1 - 0)² + (7-2)²

= √1 + 5² = √ 1 + 25

= √ 26 units

For BC B (2, 5), C (−1, 7)

| BC | = √ ( - 1 - 2)² + (7-5)²

= √ (-3)² + 2² = √ 9 + 4

= √13 units

For AB A( 0, 2), B (2, 5)

Slope = 5 - 2 / 2 - 0 = 3/2

For AC A( 0, 2), C (−1, 7)

Slope = 7-2/ -1-0 = 5/-1 = - 5

For BC B (2, 5), C (−1, 7)

Slope = -1-2/7-5 = -3/2

The triangle is an isosceles triangle since two sides | AB | and | BC | are equal that's they both have √13units.

Hope this helps you