Answer:
8
Step-by-step explanation:
Topic:C<span>onditional Probability
</span>For any two events A and B, where P(B) ≠ 0, P( A | B ) = P( A ∩ B ) / P( B ) = P( B | A) * P(A) / P(B)..i.e..{the probability of A given B is equal to the probability of A and B divided by the probability of B}
<span>For a set of events A1, A2, A3, ... , An,
</span>hence,
P(B)
<span>= P(B and A1) + P(B and A2) + ... + P(B and An) </span>
= P(B | A1) * P(A1) + P(B | A2) * P(A2) + ... + P(B | An) * P(An)
P(M | N)
<span>= P(N | M) * P(M) / P(N) </span>
<span>= P(N | M) * P(M) / (P(N | M) * P(M) + P(N | M') * (1 - P(M)))
</span><span>Substitute Values.... you get ?
</span>
Answer:
3. Correlation coefficients can be represented by the variable r
Step-by-step explanation:
Correlation coefficients show if there is a strong or weak positive or negative relationship, or if there is no relationship between the variables.
Correlation coefficients are negative when the relationship is inversely proportional and positive when the relationship is proportional.
Correlation coefficients can be any value less than or equal to 1 or greater than or equal to -1.
Let's represent our number as x.
x is being added to 6 * x², and it equals 12

Factor:

Solve for x:

Therefore,
x = -3/2 and 4/3.
Answer:
the function is EVEN because f(x)= f(-x)
Step-by-step explanation:
Key to find if a function f(x) is even or odd is to replace the x with -x
if the results comes out to be f(x) then it is even function
if the results comes out to be -f(x) then it is odd function
where as graphically even f(x) will be symmetric around the y-axis and odd f(x) will be symmetric around the origin.
In given case f(x)=7
if we replace x with -x in above equation then results is 7
f(-x)= 7
hence f(x)= f(-x) = 7
!