According to the Bureau of Transportation, 80.3% of American Airlines flights arrive on time. What is the probability that a randomly selected American Airlines flight does not arrive on time?

The probability that a randomly selected American Airlines flight does not arrive on time is 0.197.

Step-by-step explanation:

The probability of the complement of an event E is the probability of it not happening.

That is,

It is provided that the probability of American Airlines flights arriving on time  (X) is,

P(X) = 0.803

Then the event of American Airlines flights not arriving on time is the complement of the event X.

Compute the probability of the complement of event X as follows:

Thus, the probability that a randomly selected American Airlines flight does not arrive on time is 0.197.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: