Question

Suppose the sample space of a statistical experiment is {A, B, C), where P(A) = 0.32 and P(B) = 0.36. Determine:(a) P(C)=(b) P(A^c)=

Answer 1

`\begin{gathered} a)0.32_{} \\ b)\text{ 0.1024} \end{gathered}`

Step-by-step explanation:

a) Mathematically, the total probability will be equal to 1

So we have it splitted as:

`\begin{gathered} P=\text{ P(A) + P(B) + P(C)} \\ 1\text{ = 0.32 + 0.36 + P(C)} \\ P(C)=1-0.32-0.36\text{ = 0.32} \end{gathered}`

b) We have this as:

`\begin{gathered} P(A\text{ n C) = P(A) }*\text{ P(C)} \\ =\text{ 0.32 }*\text{ 0.32} \\ =0.1024 \end{gathered}`