Answer:
A. E(x) = 1/n×n(n+1)/2
B. E(x²) = 1/n
Step-by-step explanation:
The n candidates for a job have been ranked 1,2,3....n. Let x be the rank of a randomly selected candidate. Therefore, the PMF of X is given as
P(x) = {1/n, x = 1,2...n}
Therefore,
Expectation of X
E(x) = summation {xP(×)}
= summation {X×1/n}
= 1/n summation{x}
= 1/n×n(n+1)/2
= n+1/2
Thus, E(x) = 1/n×n(n+1)/2
Value of E(x²)
E(x²) = summation {x²P(×)}
= summation{x²×1/n}
= 1/n
Since we need to determine how long it takes for the watt hours to consume 4320 watt hours, we would need to divide.
We would simply divide.
4320/950= 4.5
The 4.5 represents how long it would take for the light bulb to consume 4320 watt hours.
Therefore, the answer would be 4.5 days.
<u>Answer</u>
4.5 days
<u>Recap</u>
1. We read the problem and determined that in order to solve the problem we would need to divide.
2. We then divided 4320/960= 4.5
3. We came to the conclusion that 4.5 days would be the answer.
Answer:
3/5
Step-by-step explanation:
The given ratio is ...
water : juice = 3 : 5
Divide both numbers by 5 to see how much water is needed with 1 cup of juice.
water : juice = (3/5) : 1
3/5 parts of water are mixed with 1 part of juice.
