Answer:

so at the long run we can conclude that the best option is :
A) win 0.20 cents per play
Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
Solution to the problem
Let X the random variable who represent the ampunt of money win/loss at the game defined.
The probability of loss $3.00 for this game is 0.2 and the probability of win is 1-0.2=0.8 and you will recieve $1.00 if you win. The expected value is given by:

And for this case if we replace we got:

so at the long run we can conclude that the best option is :
A) win 0.20 cents per play
Answer:
The correct statement is (B).
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
If there is any alteration in the value of one variable, the value of the other variable is altered in a fixed proportion. The correlation amid them is known as perfect correlation.
In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.
Positive correlation is an association amid two variables in which both variables change in the same direction.
A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
A correlation coefficient of 0 implies that there is no relationship between the two variables.
Thus, the correct statement is (B).
The answer would be never.
A geometric plane unless stated finite goes on forever meaning that when two planes intersect, it could never be at a point since they cannot intersect point to point or point to side or side to side.
Answer:
x ≈ 8.3
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos41° =
=
= 
Multiply both sides by 11
11 × cos41° = x, thus
x ≈ 8.3 ( to the nearest tenth )