Question: Please show all work (13) A company makes three types of lightbulbs. Lightbulb A makes up 40% of the lightbulbs produced, lightbulb B makes up
Please show all work

(13) A company makes three types of lightbulbs. Lightbulb A makes up 40% of the lightbulbs produced, lightbulb B makes up 35%, and lightbulb C makes up 25%. The probability that a type A lightbulb will last for more than 800 hours is =, the probability a type B lightbulb will last for more than 800 hours is =, and the probability that a type C lightbulb will last for more than 800 hours is =. We buy a randomly selected lightbulb produced by this company. If our lightbulb lasts for more than 800 hours, what is the probability that it is type C
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