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If P(A) = 0.60 and P(B) = 0.30, then A and B are independent events if
A. PA or B) = 0.90
B. PA or B) = 0.18
C. PA and B) = 0
D. PA and B) = 0.18
SUBMIT

If PA 060 and PB 030 then A and B are independent events if A PA or B 090 B PA or B 018 C PA and B 0 D PA and B 018 SUBMIT class=

Respuesta :

MrRoyal

Answer:

[tex]P(A\ and\ B) = 0.18[/tex]

[tex]P(A\ or\ B) = 0.90[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.60[/tex]

[tex]P(B) = 0.30[/tex]

Required

Which option is true

A and B are said to be [tex]independent[/tex] if:

[tex]P(A\ and\ B) = P(A) * P(B)[/tex]

[tex]P(A\ and\ B) = 0.60 * 0.30[/tex]

[tex]P(A\ and\ B) = 0.18[/tex]

and

[tex]P(A\ or\ B) = P(A) + P(B)[/tex]

This gives:

[tex]P(A\ or\ B) = 0.60 + 0.30[/tex]

[tex]P(A\ or\ B) = 0.90[/tex]

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