Answer: $865.20
Step-by-step explanation:
Use the equation: A = P(1 + rt)
A = 840(1 + (0.03 × 1)) = 865.2
A = $865.20
Answer:
The coordinates (12,7) would NOT be a solution to the system of linear inequalities shown below.
Step-by-step explanation:
If you do the graphing and you look at all your options of coordinates, (12,7) is the only one that is not in the shaded areas or in the lines of the inequalities. Therefore, (12,7) should be the answer to that question. :)
X=4 is the awnser too this one
Answer:
![E(X) = 1 *0.8 - 3*0.2 = 0.2](https://tex.z-dn.net/?f=%20E%28X%29%20%3D%201%20%2A0.8%20-%203%2A0.2%20%3D%200.2)
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:
![E(X) = \sum_{i=1}^n X_i P(X_i)](https://tex.z-dn.net/?f=%20E%28X%29%20%3D%20%5Csum_%7Bi%3D1%7D%5En%20X_i%20P%28X_i%29%20)
And for this case if we replace we got:
![E(X) = 1 *0.8 - 3*0.2 = 0.2](https://tex.z-dn.net/?f=%20E%28X%29%20%3D%201%20%2A0.8%20-%203%2A0.2%20%3D%200.2)
so at the long run we can conclude that the best option is :
A) win 0.20 cents per play