Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 60% can be repaired, whereas the other 40% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly three will end up being replaced under warranty

the probability that exact three would be replaced under each warranty is 0.34

Step-by-step explanation:

The computation of the probability that exact three would be replaced under each warranty is as follows

Given that

Submitted under warranty = P = 20%

Replaced with the new units = 40%

So replaced and submitted would be

= 40% × 20%

= 80%

Now let us assume the number of telephones be x for ending up for replacement

Total number of telephones purchased is 10

Now the probability by applying the formula of binomial probability is

= 0.34

Hence, the probability that exact three would be replaced under each warranty is 0.34

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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