Answer:
The probability is 0.5086
Step-by-step explanation:
The probability P that at least one of these three modules will fail to work properly is calculated as:
P = 1 - P'
Where P' is the probability that all the modules works properly. So, P' os calculated as:
P' = 0.9 * 0.84 * 0.65
P' = 0.4914
Because 0.9 is the probability that module 1 works properly, 0.84 is the probability that module 2 works properly and 0.65 is the probability that module 3 works properly.
Finally, the probability P that at least one of these three modules will fail to work properly is:
P = 1 - 0.4914
P = 0.5086
The equivalent polynomial is 12x^2 -23x - 24.
You can get this by multiplying the two parenthesis by each other.
First start by multiplying the two front numbers:
4x * 3x = 12x^2
Then multiply the outermost numbers:
4x * -8 = -32x
Then multiply the innermost numbers:
3x * 3 = 9x
Then multiply the last numbers:
3* -8 = -24
Now combine all of them to get the above polynomial.
Answer:
0 hundredths. 2 tenths and 8 ones
