Does this table show a proportional relationship?
2 answers:
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Answer:
spents on housing for each year for the state.
Step-by-step explanation:
Given:
Population of State = 2000000
Average Citizen spends on housing = 6000
We need to find total spent on housing for the state.
For finding total spent on housing for state we need to multiply Population of state with average citizen spends on housing.
Total spent on housing for state = Population of State Average Citizen spends on housing =
Now expressing the above in scientific notation we get;
Total spent on housing for state =
Answer:
a)
And we can find this probability using the complement rule:
b)
And we can find this probability uing the normal standard table:
c)
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
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 that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:
Part b
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability uing the normal standard table:
Part c
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.