Forty thousands place or the place value: Ten thousands place
Question:
The n candidates for a job have been ranked 1, 2, 3,..., n. Let x = rank of a randomly selected candidate, so that x has pmf:
(this is called the discrete uniform distribution).
Compute E(X) and V(X) using the shortcut formula.
[Hint: The sum of the first n positive integers is , whereas the sum of their squares is
Answer:
or
Step-by-step explanation:
Given
PMF
Required
Determine the E(x) and Var(x)
E(x) is calculated as:
This gives:
From the hint given:
So:
Var(x) is calculated as:
Calculating:
Using the hint given:
So:
So:
Take LCM
Apply difference of two squares
We need to compute for the length of each trophy given that one trophy is 5 inches wider than the other.
Let x be the length of the first trophy.
Let x+5 be the length of the second trophy
The solution is shown below:
x + (x + 5) = 17
x + x + 5 =17
2x =17 -5
2x = 12
x = 12/2
x=6 (for the first trophy)
x + 5 = 6+5 = 11 (for the second trophy)
The first trophy is 6 inches wide while the second trophy is 11 inches wide.
Answer:
Step-by-step explanation:
Add y to both sides:
Divide both sides by 6:
Substitute this into the second equation given:
Multiply both sides by 3:
Add 23 to both sides:
Divide both sides by 16:
We know that .
Thus,
Answer:
I think it’s d
Step-by-step explanation: