Answer:
Step-by-step explanation:
The number to be added is the square of half of the linear term coefficient. Such coefficient in our case is "10" (the number accompanying the variable x). Then, half of it is 10/2 = 5, and that number squared gives 25.
Therefore, the number to add on bothsides of the equality is 25, which leads to the following:
This matches answer B) of your choices.
Answer:
And if we use the values obtained we got:
For this case this value means that the expected score is about 7.48
Step-by-step explanation:
For this case we assume the following probability distribution:
X 5 6 7 8 9 10
P(X) 0.05 0.15 0.33 0.28 0.12 0.07
First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
For this case this value means that the expected score is about 7.48
In order to find the standard deviation we need to find first the second moment, given by :
And using the formula we got:
Then we can find the variance with the following formula:
And then the standard deviation would be given by: