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? Multiple Choice 0.475 and 0.475 0.475 and 0.6892 0.50 and 0.6892 0.50 and 0.475

 Fourth option is correct.

Step-by-step explanation:

Since we have given that

Number of light bulbs = 10

Probability of defective bulbs = 5% = 0.05

Probability of non defective bulbs = 1-0.05 = 0.95

So, using "Binomial distribution", we get that :

Hence, Fourth option is correct.

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: