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2. A company that produces fine crystal knows from experience that 1 out of 20 of...

2. A company that produces fine crystal knows from experience that 1 out of 20 of its goblets have cosmetic flaws and must be classified as “seconds”. Randomly select eight of its goblets, and let X be the number of goblets that are “seconds”.

(a) (2 points) What probability distribution does X follow? Write down the name of the distribution family and state the parameter(s).

(b) (2 points) Calculate P (X = 5).

(c) (2 points) Calculate P (2 ≤ X < 5).

(d) (2 points) Calculate the expected value of X.

(e) (2 points) Calculate the standard deviation of X.
Math   Statistics-And-Probability   
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