Answer: A) -8
B) - 41
C) - 39
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
3^1=3 divided by 8 will give a remainder of 3
3^2=9 divided by 8 will give a remainder of 1
3^3=27 divided by 8 will give a remainder of 3
3^4=81 divided by 8 will give a remainder of 1
3^5=243 divided by 8 will give a remainder of 3
You will notice that 3^n will give 3 when n is odd number and 1 when n is even number
Since n=99 and 99 is an odd number,
Then the remainder is 3
Answer:
![Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%204.97%20-%281.61%29%5E2%20%3D2.3779)
And the deviation would be:

Step-by-step explanation:
For this case we have the following distribution given:
X 0 1 2 3 4 5 6
P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02
For this case we need to find first the expected value given by:

And replacing we got:

Now we can find the second moment given by:

And replacing we got:

And the variance would be given by:
![Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%204.97%20-%281.61%29%5E2%20%3D2.3779)
And the deviation would be:

Answer:
1
Step-by-step explanation:
2^−1 + 2^−1
2x2^-1
1