Apet supplier has a stock of parakeets of which 20% are blue parakeets. a pet store orders 3 parakeets from this supplier. if the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet?

0.384

Step-by-step explanation:

pet supplier has a stock of parakeets of which 20% are blue parakeets

20/100 = 0.2 blue parakeets (success)

1-0.2 = 0.8 not parakeets (not success)

A pet store orders 3 parakeets from this supplier

we need to find the chance of getting exactly one blue from 3 parakeets

n=3, r=1, p = 0.2 , q=0.8

0.384

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:

chicken chicken chicken

step-by-step explanation: