On a particular production line, the likelihood that a light bulb is defective is 5%. ten light bulbs are randomly selected. what are the mean and variance of the number of defective bulbs?

Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.

Step-by-step explanation:

Consider the provided information,

Let X is the number of defective bulbs.

Ten light bulbs are randomly selected.

The likelihood that a light bulb is defective is 5%.

Therefore sample size is = n = 10

Probability of a defective bulb = p = 0.05.

Therefore, q = 1 - p = 1 - 0.05 = 0.95

Mean of binomial random variable:

Therefore,

Variance of binomial random variable:

Therefore,

Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.

- (2, -7)

- lines r and s and lines t and u must be parallel