Use n = 6 and p = 0.25 to complete parts (a) through (d) below. (a) Construct a binomial probability distribution with the given parameters.

х

P(x)

0

1

2

3

4

5

6

(Round to four decimal places as needed.)

(hl somnute the mean and standard deviation of the random variable using Hy = x. P(x)] and oy =

The binomial probability distribution is shown below.

Step-by-step explanation:

The probability mass function of X is:

It is provided that n = 6 and p = 0.25.

Construct a binomial probability distribution with the given parameters as follows:

X                                       P (X = x)

0        

1        

2        

3        

4      

5      

6      

Compute the mean and standard deviation as follows:

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:

step-by-step explanation: