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:
(7,8)
Step-by-step explanation:
By moving 4 units right the x increases: 3+4=7. When moving 2 units up the y increases: 6+2=8.
Answer:
14 - 4n
Step-by-step explanation:
g = 4n+1/n
n = 1/g−4
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h = −2n+3/n
n = 3/h+2
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g(- n + 3) = 4(- n + 3) + 2 = - 4n + 12 + 2 = 14 - 4n
Answer:
Your answer is 15, 100% of the exam is 15 questions.
Step-by-step explanation:
60% x ? = 9
We need to do 9 divided by 60%
Which is actually 9 divided by 60/100.
Which is equal to; (100 x 9) divided by 6.
Which is then 900 divided by 60 which equals 15.
Answer: 15