Answer:
Step-by-step explanation:
1)
Given that:
The joint pmf
To emphasize that this is a joint pmf;
We will notice that it obeys two conditions;
- it comprises a non-negative number and which is less than 1
- the sum of all the probabilities adds up and becomes unity.
Except that X and Y are integer value variables with 1 ≤ b ≤ a ≤ 4 and X = 1, 2, 3, 4 and Y = 1, 2, 3, 4 respectively, according to the condition Y ≤ X
The table below shows the joint probabilities as a result of this:
y = 1 y = 2 y = 1 y = 4 Total
x = 1 0 0 0
x = 2 0 0
x = 3 0
x = 4
Total 1
In the table, it is obvious that each respective value of the probability is positive and the addition of all the values sums up to unity (1).
Hence, the given probability shows that it is indeed a pmf(probability mass function).
(b)
Marginal Pmf of x =
Marginal Pmf of y =
Thus, we can locate the respective values of the marginal probability in the last row as well as the last column in the explained table above.
(c)
To find P(X=Y+1):
P(X = Y + 1) = P(X = 2,3,4)
⇒ 1 - P(X=1)
Answer:
Technically, yes.
Step-by-step explanation:
Numerators usually have the negative sign, unless of course the negative sign is attached to the denominator.
- 9/13 =
9/(-13) =
~
Answer:
The height of the great pyramid is:
- <u>303.6 cubits approximately</u>.
Or:
- <u>5464.6 inches approximately</u>.
Step-by-step explanation:
The Great Pyramid of Giza could be said to have two heights: one at the time of being built and the other that can be currently measured, however, to answer the question, <u>the current height has been used, which is 303.6 cubits</u> (I give the answer in this unit because it was the one used by its builders).
There is a slight discrepancy with the values given in the exercise: <u>one cubit equals 18 inches, not 20</u>.
The coordinates of x are (1.6, 1.2).
Solution:
Given points of the line segment are A(0, 0) and B(4, 3)
X be the point divided the line segment AB in the distance .
i.e., in the ratio of 2 : 3.
Section formula:
Here, and m = 2, n = 3
Substitute these in the section formula,
<em>X(x, y)</em> = (1.6, 1.2)
The coordinates of x are (1.6, 1.2).
The answer is 3.5 over 60 miles east of the stack