Question

If A denotes some event, what does denote? If P(A) , what is the value of P( )? A = 0.003 A What does denote? A A. Event denotes the complement of event A, meaning that and A share some but not all outcomes. A A B. Events A and share all outcomes. A C. Event denotes the complement of event A, meaning that consists of all outcomes in which event A does not occur. A A D. Event is always unusual. A If P(A) , what is the value of P( )?

Answer 1

The notation A' denotes the complement of event A and consists of all outcomes not in A. The value of P(A') when P(A) = 0.003 is P(A') = 1 - P(A) = 0.997.

Step-by-step explanation:

If A denotes some event, the notation A' (read "A prime") denotes the complement of event A, which includes all outcomes that are not in event A. Therefore, the correct answer to what A' denotes is "C. Event A' denotes the complement of event A, meaning that A' consists of all outcomes in which event A does not occur."

Given that P(A) = 0.003, the value of P(A') can be found by using the following fact: P(A) + P(A') = 1, since the probabilities of an event and its complement must sum up to 1. Thus, the value of P(A') can be calculated as P(A') = 1 - P(A). Plugging in the given probability for A:

P(A') = 1 - P(A) = 1 - 0.003 = 0.997.

Answer 2

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

Option B is correct

b

`P(\= A ) = 0.997`

Step-by-step explanation:

From the question
`\= A` denote the compliment of A and what this mean is that
`\= A` consist of all the outcomes in which event A does not occur

Given that P(A) = 0.003

Then the value of

`P(\= A ) = 1- 0.003`

`P(\= A ) = 0.997`