Answer:
Belinda's score is 32 strokes.
Step-by-step explanation:
Let the score of John be "x" and Belinda be "y".
It is given that, in the game of golf, John's score was 10 less than two times Belinda's score.
Also, John's score is 54 strokes.
The above equation can be written as ;
Here, x = 54,
Thus, Belinda's score is 32 strokes.
Answer:
We can find the second moment given by:
And we can calculate the variance with this formula:
And the deviation is:
Step-by-step explanation:
For this case we have the following probability distribution given:
X 0 1 2 3 4 5
P(X) 0.031 0.156 0.313 0.313 0.156 0.031
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).
We can verify that:
And
So then we have a probability distribution
We can calculate the expected value with the following formula:
We can find the second moment given by:
And we can calculate the variance with this formula:
And the deviation is: