Answer:
True : If A and B are independent events, then P(A|B)=P(A) is true.
Step-by-step explanation:
If A and B are independent, P(A and B) = P(A) * P(B)
P(A|B) conditional probability, P(A) given B has already happened
= P(A and B) / P(B)
= P(A)*P(B) / P(B)
= P(A)
Therefore
If A and B are independent events, P(A|B)=P(A) is true.
Answer:
Expected Number=71
Variance =4959
Standard Deviation= 70.42
Step-by-step explanation:
Expected Number = E (x) = np
Here p = 0.71 and q= 1- 0.71= 0.29 n= 100
Expected Number = E (x) = np = 0.71*100= 71
b) The Variance and Standard Deviation for the number of these tweets with no reaction
Suppose the number of tweets are hundred then the number of tweets with no reaction would be 71 .
Variance = E(x²) - [E(x)]² = (100)²- (71)²= 10000- 5041= 4959
Standard Deviation= √4959= 70.42
<span>Simplifying
14 + x = 46
Solving
14 + x = 46
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + -14 + x = 46 + -14
Combine like terms: 14 + -14 = 0
0 + x = 46 + -14
x = 46 + -14
Combine like terms: 46 + -14 = 32
x = 32
Simplifying
x = 32</span>
A: 0 3 4 5 5 6 7 9 9 20
3 3 5 5 6 8 8 9 9
B: No, they are not symmetric
