Given that there are 3 boxes. First box contains 100 components of which 20 % are defective, second box contains 200 components of which 25 % are defective, third box contains 300 components of which 40 % are defective.

Box is selected randomly and from this box one component is selected randomly. The chosen component turned out to be defective.

Here A1, A2 and A3 events from drawing I, II and III box are mutually exclusive and exhaustive

B = The drawn ball is defective

Required probability

a) second box = P(A2/B)

= $\frac{P(A_2B)}{P(A_1B+P(A_2B+P(A_3B}$

(by Bayes theorem of conditional probability)

= $\frac{\frac{1}{3} 0.25}{\frac{1}{3} 0.20)+\frac{1}{3} 0.25)+\frac{1}{3} 0.40)} \\=\frac{25}{85} \\=\frac{5}{17}$

b) third box = P(A3/B)

= $\frac{\frac{1}{3} 0.40}{\frac{1}{3} 0.20)+\frac{1}{3} 0.25)+\frac{1}{3} 0.40)} \\=\frac{40}{85} \\=\frac{8}{17}$

4 0

3 years ago

A percent of

Dmitrij [34]

Answer:

aeafscgefgdderhgdthdg

8 0

2 years ago

What is the ratio for 2 red paper clips to 6 blue paper clips? Write it as a fraction.

Dmitriy789 [7]

Answer:

2 over 6 as a fraction simplifies as 1 over three.

Step-by-step explanation:

If you are writing as a fraction, you put 2 over 6 and simplify. Your answer is 1 over 3

7 0

3 years ago

Read 2 more answers

Solve for x x + y = 1 x + 7y = -4 2x - 6y = 4 5x + 15y = -10 2x + 6y = 10

Arada [10]

X + y = 1
add - y both sides
x + y + - y = 1 + - y
x = - y + 1
Answer: x = - y + 1
Graph: y = - x + 1

x + 7y = - 4
add - 7 both sides
x + 7y + - 7y = - 4 + -7y
x = - 7y - 4
Answer: x = - 7y - 4
Graph: y = 0.142857x - 0.571429

2x - 6y = 4
add 6y to both sides
2x - 6y + 6y = 4 + 6y
2x = 6y + 4
divide both sides by 2
2x/2 = 6y + 4/2
x = 3y + 2
Answer: x = 3y + 2
Graph: y = 0.333333x - 0.666667

5x + 15y = - 10
add - 15 to both sides
5x + 15y + - 15y = - 10 + - 15y
5x = - 15y - 10
divide both sides by 5
5x/5 = - 15y - 10/5
x = - 3y - 2
Answer: x = - 3y - 2
Graph: y = - 0.333333x - 0.666667

2x + 6y = 10
add - 6y to both sides
2x + 6y + - 6y = 10 + - 6y
2x = - 6y + 10
divide both sides by 2
2x/2 = - 6y + 10/2
x = - 3y + 5
Answer: x = -3y + 5
Graph: y = - 0.333333x + 1.666667

Hope that helps!!!

8 0

3 years ago