Answer:
The standard deviation of this probability distribution is 1.2.
Step-by-step explanation:
We have that:
P(X = 0) = 0.25
P(X = 1) = 0.3
P(X = 2) = 0.1
P(X = 3) = 0.35
Mean:
Each value multiplied by its probability. So
Variance:
Sum of the squares of the values subtracted from the mean, and multiplied by its probability.
Standard deviation:
Square root of the variance. So
The standard deviation of this probability distribution is 1.2.
2x^2y√6x
the image has the answer in a mor clear form
When there are 1000 repetitions, the mean will be 5.002.
The charts that you have list the number of total heads when you flip the coin 10 times in each trial.
Multiply the total of each by the number number of heads for that category and divide by 1000.
1 x 0
8 x 1
43 x 2
117 x 3
2017 x 4
248 x 5
203 x 6
121 x 7
45 x 8
6 x 9
1 x 10
If you add up those products and divide by 1000, you have 5.002.
Using the law of large numbers, the experiment with 1000 rolls will be the closest to the theoretical amount.
The formula for volume always involves three dimensions.
In this case, the volume of a cube is 
, where 
is the side length of the cube.
To solve for that side length, you'd need to use a cube root.
