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:
Hello! answer: 5
Step-by-step explanation:
What you do to find the answer for these is do a^2+b^2=c^2 Basically meaning 4 × 4 + 3 × 3 will equal a number that you then find the suare root of square root just meaning a number multiplied by itself to equals that number so...
4 × 4 = 16
3 × 3 = 9
16 + 9 = 25
√25 = 5
5 × 5 = 25 therefore c = 5 hope that helps!
The formula for exponential form is:
e^x = y
Where, y in this case is 1800, e is exponential, and we
are to find e^x.
e^x = 1800
To find for x, we have to multiply both sides with the
natural log, ln.
ln (e^x) = ln (1800)
x ln e = ln (1800)
<span>ln e = 1 and by using
the calculator,</span>
x = 7.496 = 7.5
<span>Therefore the exponential form of 1800 is e^7.5</span>
<span>ANSWER: </span>
