Question

If x is a binomial random variable, compute p(x) for each of the cases below.a. n = 4,-1, p=0.6b.n=6,x=3,q=0,3d.n=4, X = 2, p=0.7e.n=6, x3, 0.7c. n 3, x0, p=0.8fin= 3,1.-0,9a. p(x) = (Round to four decimal places as needed.)27Enter your answer in the answer box and then click Check Answer,Help Me Solve ThieView anyamanlaGot Mora Hain

Answer 1

SOLUTION:

Step 1 :

If x is a binomial random variable, compute p( x ) for the following:

a) n = 4, x = 1 , p = 0.6

Step 2:

$\begin{gathered} U\sin g\text{ the binomial random variable, we have that:} \\ p^{}(x)=^nC_{x_{}}(p)^x(q)^{n\text{ - x}} \\ p\text{ + q = 1} \\ 0.6\text{ + q = 1} \\ \text{q = 1 - 0. 6} \\ q\text{ = 0. 4} \end{gathered}$

Step 3:

$\begin{gathered} p^{}(1)=^4C_1(0.6)^1(0.4)^{4-\text{ 1}}_{^{}^{}} \\ =4X0.6X(0.4)^3 \\ =\text{ 4 X }0.6\text{ X 0. 0064} \\ p(\text{ 1 ) = 0.1536 ( 4 decimal places)} \end{gathered}$

CONCLUSION:

The final answer is:

$p\text{ ( 1 ) = 0. 1536 ( 4 decimal places)}$