In the exercise, x is a binomial variable with n = 9 and p = 0.3. compute the given probability. check your answer using technology. hint [see example 2.] (round your answer to five decimal places.) p(x = 5)

 The required probability is 0.07351.

Step-by-step explanation:  Given that X is a binomial variable with n = 9 and p = 0.3.

We are given to compute the probability P(X = 5) and round the answer to five decimal places.

We know that

the binomial distribution formula for P(X = r) with n number of trials is given by

According to the given information, we have

n = 9,  p = 0.3   and   q = 1 - p = 1 - 0.3 = 0.7.

Therefore, we get

Rounding to five decimal places, we get

P(X=5) = 0.07351.

Thus, the required probability is 0.07351.

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: