Answer:
The sample mean will approach 76
Step-by-step explanation:
Refer to Law of large numbers (LLN) and the central limit theorem (CLT)
For random sample, with sample size n, in population with expected value μ, the sample mean converge almost surely to the expected value μ as n -> ∞
Answer:
Step-by-step explanation:
Given

and 
So, 
Substitute the value of
in 


So it represent a parabola shown in the figure
28 times 7.5 (30 divided by 4) = 210 :)
Answer: Alvin = 42 yrs , Elga = 21 yrs
Step-by-step explanation:
Let Elga's age be x , and Alvin's age be y ,since Alvin is two times Elga's age , then
Alvin's age = 2x , that is
y = 2x ............... equation 1
The sum of their ages is 63 implies
x + y = 63 .............. equation 2
Solving the resulting linear equations by substitution method.
Substitute equation 1 into equation 2 , we have
x + 2x = 63
3x = 63
x = 63/3
x = 21
Therefore : Elga is 21 years old , then Alvin will be 21 x 2, which will be 42