Approximately 10% of the glass bottles coming off a production line have serious flaws in the glass. if two bottles are randomly selected, find the mean and variance of the number of bottles that have serious flaws.

Question

Mathematics

Mila Cooley

11 March, 16:13

Approximately 10% of the glass bottles coming off a production line have serious flaws in the glass. if two bottles are randomly selected, find the mean and variance of the number of bottles that have serious flaws.

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Roberts · Answer 1

Number of glass bottles = n = 2

Probability of flawed glass bottle = p = 10% = 0.10

q = 1 - p = 0.9

Mean = np = 2 x 0.10 = 0.2

Variance = npq = 2 x 0.1 x 0.9 = 0.18