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10 pes We bought a pack of 10 lightbulbs from a garage sale and o...

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10 pes We bought a pack of 10 lightbulbs from a garage sale and o of them don t work If we were to collect a random sample of 2 lightbulbs no replacement and count the number of lightbulbs that are defective create a probability distribution for this discrete random variable a First define your random variable X The random variable X will be defined as the number of defective lightbulbs in a random sample of 2 lightbulbs chosen without replacement from the pack of 10 bulbs X can take from values 0 to 2 where X 0 means both bulbs are working X 1 means one bulbs is working and X 2 means both bulbs are defective b Next showing work for all of your probabilities in the space below fill in the table below round probabilities to 4 decimal places X P X total of bulbs 10 of defective bulbs 6 of working bulbs 4 probability of 2 bulbs working 4c 100 c What do the probabilities sum up to 70 1333 bc 4c 0 53332 probability of 1 bulbs working IPC 6c probability of 2 bulbs working 10 0 3333 1 0 1333 0 5333 0 3333

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