Inspecting switches a shipment contains 10,000 switches. of these, 1000 are bad. an inspector draws 2 switches at random, one after the other. a) draw a tree diagram that shows the sample space of this chance process. b) find the probability that both switches are defective.

a) Figure attached

b)

Step-by-step explanation:

For this case we can find first the probability of being dfective on the shipment like this:

Since he select 10000 and 1000 of theme were defective.

Now we know that the inspector select 2 switches at random so then we can create the possible outcomes.

Part a

The tree diagram is on the figure attached, the sample space on this case is:

D = represent a defective switch

N= represent a non defective swicth

Part b

For this case we want the probability that both switches would be defective and on this case we can do this:

Assuming independent between the events.

step-by-step explanation: