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If A denotes some event, what does Upper A over bar A denote? If P(A)equals=0.99

ID: 3180800 • Letter: I

Question

If A denotes some event, what does Upper A over bar A denote? If P(A)equals=0.996, what is the value of P(Upper A overbarA)? If P(A)equals=0.996, is Upper A overbarA unlikely?

What does Upper A overbarA denote?

A. Event Upper A overbarA denotes the complement of event A, meaning that Upper A overbarA and A share some but not all outcomes.

B. Events A and Upper A overbarA share all outcomes.

C. Event Upper A overbarA is always unlikely.

D. Event Upper A overbarA denotes the complement of event A, meaning that Upper A overbarA consists of all outcomes in which event A does not occur.

If P(A)equals=0.996, what is the value of P(Upper A overbarA)?

P(Upper A overbarA)=?

(Type an integer or a decimal.)

If P(A)equals=0.996, is Upper A overbarA unlikely?

Yes or No?

Explanation / Answer

D. Event A-bar denotes the complement of event A, meaning that A-bar consists of all outcomes in which event A does not occur.

P(A-bar) = 1 - P(A) = 1 - 0.996 = 0.004

Yes, P(A-bar) is unlikely.