Answer:
A frequency distribution lists the<u> number</u> of occurrences of each category of data, while a relative frequency distribution lists the <u>proportion</u> of occurrences of each category of data.
Explanation:
A "frequency distribution" is one of the ways in organizing a data, either by <em>listing the information, putting them in a table or showing them in a graph.</em> The items in the list (distinct values) are then counted when it comes to the number of times they've occurred.
Thus, this explains the first answer, "number."
On the other hand, a "relative frequency distribution" refers to the proportion of the overall number of observations in a particular category. <u>You can get this by dividing each frequency with the total number of data in a sample.</u>
Thus, this explains the second answer, "proportion."
2 because if you divided 8/12 by 2/6=2
Answer: E(Y) = 1.6 and Var(Y)=1.12
Step-by-step explanation:
Since we have given that
X 0 1 2
P(X) 0.4 0.4 0.2
Here, number of games = 2
So, 
Since 
are independent variables.
so, ![E[Y]=2E[X]\\\\Var[Y]=2Var[X]](https://tex.z-dn.net/?f=E%5BY%5D%3D2E%5BX%5D%5C%5C%5C%5CVar%5BY%5D%3D2Var%5BX%5D)
So, we get that
![E(X)=0.4\times 0+0.4\times 1+0.2\times 2=0.8\\\\and Var[x]=E[x^2]-(E[x])^2\\\\E[x^2]=0\times 0.4+1\times 0.4+4\times 0.2=1.2\\\\So, Var[x]=1.2-(0.8)^2\\\\Var[x]=1.2-0.64=0.56](https://tex.z-dn.net/?f=E%28X%29%3D0.4%5Ctimes%200%2B0.4%5Ctimes%201%2B0.2%5Ctimes%202%3D0.8%5C%5C%5C%5Cand%20Var%5Bx%5D%3DE%5Bx%5E2%5D-%28E%5Bx%5D%29%5E2%5C%5C%5C%5CE%5Bx%5E2%5D%3D0%5Ctimes%200.4%2B1%5Ctimes%200.4%2B4%5Ctimes%200.2%3D1.2%5C%5C%5C%5CSo%2C%20Var%5Bx%5D%3D1.2-%280.8%29%5E2%5C%5C%5C%5CVar%5Bx%5D%3D1.2-0.64%3D0.56)
So, E[y]=2×0.8=1.6
and Var[y]=2×0.56=1.12
Hence, E(Y) = 1.6 and Var(Y)=1.12
The number 2*2*2*4*5 is not in its prime factorization because not all the factors are prime numbers. A prime number is a number that has no other factors except for 1 and itself.
4 is not a prime number, since it can be divided by 2. The number can be broken down into its prime factors by dividing by 2, and it becomes 2*2.
Therefore, the factorization of the number 2*2*2*4*5 can be broken down to 2*2*2*2*2*5.
Answer:
2 integers: $7 and $8
5-by-step explanation:
compute 3 times square root of 5 and get 6.708. . .
Plot that.
Compute 5 times the square root of 3 and get 8.6602...
Plot that.
See which whole numbers are between those two points. Only two: 7 and 8
Since the question includes $ signs (WHY??) include the $ in your answer.
