Step-by-step explanation:
what is the question
I can't see the complete question
Answer:
Check Explanation
Step-by-step explanation:
According to the Central limit theorem, the population mean (μ) is approximately equal to the mean of sampling distribution (μₓ).
And the standard deviation of the sampling distribution (σₓ) is related to the population standard deviation (σ) through
Standard deviation of the sampling distribution = (Population standard deviation)/(√N)
where N = Sample size
σₓ = (σ/√N)
So, population mean (μ) = Mean of sampling distribution (μₓ)
Population Standard deviation = (Standard deviation of the sampling distribution) × √N
= σ × √N
A) The expected value of a given distribution is simply equal to the mean of that distribution.
Hence, the expected value of random variable Y thay varies with different samples is given as
E(Y) = Mean of sampling distribution = μₓ
But μₓ = μ
Hence, E(Y) = μ (Proved)
B) Var (Y) is given as the square of the random distribution's standard deviation.
Var (Y) = (standard deviation of the sampling distribution)²
= (σ/√N)²
= (σ²/N) (Proved)
Hope this Helps!!!
Answer:
16 months
Step-by-step explanation:
First I will subtract how much he has already paid.
6000 - 3200 = 2800.
Now to find how many months it will take to get a total of 2800 dollars we must divide.
= 16
this means that an additional 16 months will be needed to reach the total of 6000 dollars.
Hope this helps! :)
We know that the number's opposite is 5. In this context, the opposite means the negative of the given number. Since the number's opposite is 5, the number itself must be -5. This is consistent with the second piece of information, since the absolute value of a number is its distance to 0 and the absolute value of -5 is 5.
