We have:
Event A ⇒ P(A) = 0.16
Event B ⇒ P(B) = 0.09
Probability of event B given event A happening, P(B|A) = P(A∩B) / P(A) = 0.12
By the conditional probability, the probability of event A and event B happens together is given by:
P(B|A) = P(A∩B) ÷ P(A)
P(B|A) = P(A∩B) ÷ 0.16
0.12 = P(A∩B) ÷ 0.16
P(A∩B) = 0.12 × 0.16
P(A∩B) = 0.0192
When two events are independent, P(A) × P(B) = P(A∩B) so if P(A∩B) = 0.0192, then P(B) will be 0.0192 ÷ 0.16 = 0.12 (which take us back to P(B|A))
Since P(B|A) does not equal to P(B), event A and event B are not independent.
Answer: <span>Events A and B are not independent because P(B|A) ≠ P(B)</span>
Answer:
D and C
Step-by-step explanation:
Answer : 17
Subtract 90 and 73
Answer:
the answer is 77.77777(repeating)
Step-by-step explanation:
77 and 7/10 approximately
Multiply the numbers: 3 x 2=6 = 6x + 5 - 12x - 2 x 149x
Next Multiply the numbers 149 x 2 = 298
Then, Group like terms, =-6x-12x-298x+5
Add similar elements -6x-12x-298x=-316x,
and you get -316x+5!