Transactions to a computer database are either new items or changes to previous items. the addition of an item can be completed less than 100 milliseconds 81% of the time, but only 20% of changes to a previous item can be completed in less than this time. if 30% of transactions are changes, what is the probability that a transaction can be completed in less than 100 milliseconds? round your answer to two decimal places (e. g. 98.76).

There is a 62.7% probability that a transaction can be completed in less than 100 milliseconds.

Step-by-step explanation:

This a probability problem.

We have the following probabilities:

-70% probability that a transaction is an addition of an item.

-30% probability that a transaction is a change to an item

-81% probability that an addition can be completed in less than 100 milliseconds

-20% probability that change can be completed in less than 100 milliseconds

The probability P that a transaction can be completed in less than 100 milliseconds is:

In which is the probability that the transaction is an addition and it takes less than 100 milliseconds. So

is the probability that the transaction is a change and it takes less than 100 milliseconds. So

So

There is a 62.7% probability that a transaction can be completed in less than 100 milliseconds.

its 69.420

step-by-step explanation:

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!