Romi, a production manager, is trying to improve the efficiency of his assembly line. he knows that the machine is set up correctly only 60% of the time. he also knows that if the machine is set up correctly, it will produce good parts 80% of the time, but if set up incorrectly, it will produce good parts only 20% of the time. romi starts the machine and produces one part before he begins the production run. he finds the first part to be good. what is the revised probability that the machine was set up correctly?

If the first part is good, there is a 85.71% probability that the machine was set up correctly.

Step-by-step explanation:

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

So, the question is:

What is the probability that the machine was set up corretcly, given that the first part is good?

P(B) is the probability that the machine was set up correctly. The problem states that the machine is set up correctly only 60% of the time. So P(B) = 0.6.

P(A/B) is the probability that the first part is good, given that the machine was set up correctly. The problem states that that if the machine is set up correctly, it will produce good parts 80% of the time, so P(A/B) = 0.8

P(A) is the probability that a good part is produced. The problem states that the machine is set up correctly only 60% of the time. He also knows that if the machine is set up correctly, it will produce good parts 80% of the time, but if set up incorrectly, it will produce good parts only 20% of the time. So:

P(A) = 0.6*0.8 + 0.4*0.2 = 0.56

Finally

If the first part is good, there is a 85.71% probability that the machine was set up correctly.

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.