Question

A certain factory that manufactures office chairs has a quality control process to identify defective chairs. The binomial random variable d represents the number of chairs in a sample of chairs that are defective. The mean of d is 10 chairs and the standard deviation is 3 chairs. Based on the distribution of d, which of the following would be an accurate interpretation of the value 0. 1 ?.

Answer 1

If a factory manufactures office chairs, and the binomial variable has mean of 10 and standard deviation of 3, based of the distribution of D

• The Probability of identifying the defective chair, would be an accurate interpretation of the value 0. 1

Mean of binomial distribution = np = 10

Variance of binomial distribution = npq = 9

$Q = \frac{9}{np} \\\\Q = \frac{9}{10} \\\\Q = 0.9$

$P = 1-q \\\\P = 0.1$

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