Homework 1.pdfSystems Analysis a Homework 2.pdfX Statistics For Busin.. 115% he:

Question

Homework 1.pdfSystems Analysis a Homework 2.pdfX Statistics For Busin.. 115% he: Score : / 10 1. You have three bags that each contain 100 marbles: Bag 1 has 75 red and 25 blue marbles; Bag 2 has 60 red and 40 blue marbles; Bag 3 has 45 red and 55 blue marbles. You choose one of the bags at random and then pick a marble from the chosen bag, also at random. What is the probability that the chošen marble is red? 2. In your left pocket, there are 3 red pebbles and 7 green pebbles. In your right pocket, there are 6 red pebbles and 4 green pebbles. You pick one pebble randomly from your left pocket, put it into your right pocket. Then, pick one pebble randomly from your right pocket. Find the probability that you pick a red pebble

Explanation / Answer

Ans:

1)P(red/bag1)=0.75

P(red/bag2)=0.60

P(red/bag3)=0.45

P(bag1)=P(bag2)=P(bag3)=1/3

P(red)=P(red/bag1)*P(bag1)+P(red/bag2)*P(bag2)+P(red/bag3)*P(bag3)

=0.75*(1/3)+0.60*(1/3)+0.45*(1/3)

=(1/3)*1.8=0.6

3)P(first test)=0.42

P(first and second test)=0.25

P(second test/first test)=P(first and second test)/P(first test)=0.25/0.42=0.595

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