An assembly consists of two mechanical components. suppose that the probabilities that the first and second components meet specifications are 0.91 and 0.85. assume that the components are independent. determine the probability mass function of the number of components in the assembly that meet specifications. x = number of components that meet specifications.

0.77

Step-by-step explanation:

Let A be the specification of first components and B be the specification of second component

Let P(A) be the probability that A meets specification and P(B) be the probability that B meets specification.

Probability mass function of the number of components in the assembly that meet specification = P(A) × P(B) (since they are independent)

X= 0.91×0.85

X= 0.77

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:

.95

step-by-step explanation: