Question

If A denotes some​ event, what does Upper A overbar ​denote? If ​P(A)equals0.009​, what is the value of ​P(Upper A overbar​)? If ​P(A)equals0.009​, is Upper A overbar ​unusual? What does Upper A overbar ​denote? A. Event Upper A overbar is always unusual. B. Event Upper A overbar denotes the complement of event​ A, meaning that Upper A overbar consists of all outcomes in which event A does not occur. C. Events A and Upper A overbar share all outcomes. D. Event Upper A overbar denotes the complement of event​ A, meaning that Upper A overbar and A share some but not all outcomes.

Answer 1

Answer:

Option  B) Event $\bar{A}$ denotes the complement of event​ A, meaning that $\bar{A}$ consists of all outcomes in which event A does not occur.      

Step-by-step explanation:

We are given the following in the question:

A denotes some​ event.

$p(A) = 0.009$

We have to define what does $\bar{A}$ mean.

Complement of a event:

• It is defined as the outcomes that are not included in the event.
• Together the event and the complement of event makes all possible outcomes.
• $p(A) + p(\bar{A}) = 1$
• $p(\bar{A}) = 1 - 0.009 = 0.991$

Thus, the correct interpretation is

Option  B) Event $\bar{A}$ denotes the complement of event​ A, meaning that $\bar{A}$ consists of all outcomes in which event A does not occur.