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.

determine the probability that it came from
a) second box.
b) third box.

Step-by-step explanation:

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)

=

(by Bayes theorem of conditional probability)

=

b) third box = P(A3/B)

=

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

4

step-by-step explanation:

im pretty sure it's 4 beacsue 8/2 equals 4