Simplify 3(2x+4y-2z)+7(x+y-4z)
1 answer:
Remove parenthesis.
Distribute 3 and 7 through the parenthesis
Collect the like terms by adding their coefficients.
Collect the like terms by adding their coefficients.
Collect like terms by calculating the sum or difference of their coefficients. Use addition and subtraction rules to calculate the expression.
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Answer:
If the distribution is bell shaped we can approximate the probability with high accuracy using the z score formula.
a)
And for this case we can use the z score given by:
And if we use it we got:
b)
And for this case we can use the z score given by:
And if we use it we got:
c)
And for this case we can use the z score given by:
And if we use it we got:
If the distribution is NOT bell shaped the approximation with the z score NOT works and we need to have the distribution for X in order to find the probabilities.
Step-by-step explanation:
Previous concepts
If the distribution is bell shaped we can approximate the probability with high accuracy using the z score formula.
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable of interest
We assume for this case that and
We are interested on this probability
And for this case we can use the z score given by:
And if we use it we got:
Part b
And for this case we can use the z score given by:
And if we use it we got:
Part c
And for this case we can use the z score given by:
And if we use it we got:
If the distribution is NOT bell shaped the approximation with the z score NOT works and we need to have the distribution for X in order to find the probabilities.