Answer:
The joint probability distribution of X and Y is shown below.
Step-by-step explanation:
The distributions of X and of Y are described as follows:
X : 0 1
P (X) : 0.23 0.77
Y : 1 2 3
P (Y) : 0.40 0.22 0.38
It is provided that X and Y are independent.
That is:
P (X ∩ Y) = P (X) × P (Y)
Compute the joint probability distribution of X and Y as follows:
X 0 1
<u>Y </u>
1 0.9200 0.3080
2 0.0506 0.1694
3 0.0874 0.2926
Answer:
14 is 24
13 is 1.4
Step-by-step explanation:
answer 14:
First you need to add 10.1 and 1.9.
Second you need to multiply the answer you got by 4.
Last you need to divide the answer you got from the first two steps by 2.
Answer 13:
First you need to add 0.6 plus 7.4 and then multiply it by 2 because it is squared by 2.
Next you minus 14 from the answer you got from the first steps.
Answer:
Step-by-step explanation:
Given:
1/2(ln(xx + yy) − ln(zz))
Now,
From the properties of log function,
1) n × ln(x) = ln(xⁿ)
and,
2) ln(A) - ln(B) = 
applying the properties in the given equation
we get the above equation as:
( using the property 2 we get (ln(xx + yy) − ln(zz) = 
or
⇒ ( using the property 1 i.e n × ln(x) = ln(xⁿ) )
expression as an equivalent expression with a single logarithm is
The slope of the parallel line is -6/7
the slope of the perpendicular line is 7/6
the slope of the line = -6/7
the gradient of two parallel lines are equal
the product of the gradient of two perpendicular lines is -1
: the gradient m1*m2 = -1
m2= -1(-6/7)
m2= 7/6
Answer:
Dog is 2 years old
Step-by-step explanation:
Let dog's age = d
Let friend's age = f
Your dog is 8 years younger than your friend:
d +8 = f
In 2 years, your friend will be three times as old as your dog:
3(d+2) = (f+2)
3d+6 = f+2
3d = f - 4
(sub in f=d+8 from above)
3d = f - 4
3d = d+8 - 4
2d = 4
d = 2
