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After production, a computer component is given a quality score A, B, or C. On average...

After production, a computer component is given a quality score A, B, or C. On average 60 %, 30%, and 10% were given a quality score A, B and C respectively. Furthermore, it was found that 3%, 5%, and 2% of the component given a quality score A, B, and C respectively are eventually failed.

a)

i.What is the probability that randomly selected component is failed?

ii.One of these components is selected at random and found to be failed, what is the probability that it had received a quality score B?

b)

The combination for a keypad is 5 digits long. Suppose that you have ten digits from 0 to 9. If first digit not allowed to be 0 then how many possible combinations?

c)

You are considering 10 different colleges. Before you decide to apply to the colleges, you want to visit some or all of them. In how many orders can you visit 6 of the colleges?

Math   Statistics-And-Probability   
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