A restaurant manager records the number of tables seated (x) and the total number of cups of complimentary salsa (y) served. Whi
ch statements show correct values for the median-fit method? Check all that apply.
The left summary point is (38, 97.25).
The middle summary point is (52, 103.75).
The right summary point is (63, 160).
The slope of the line of best fit is 2.14.
The y-intercept of the line of best fit is –10.48.
The left summary point is (38, 97.25).
The middle summary point is (52, 103.75).
The right summary point is (63, 160).
The slope of the line of best fit is 2.14.
The y-intercept of the line of best fit is –10.48.
1 answer:
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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: