Does this set of ordered pairs represent a function? Why or why not ?
2 answers:
Answer:
C. Yes, because every x-value corresponds to exactly one y-value
Step-by-step explanation:
We are asked to find whether the given ordered pairs represent a function or not.
We know that a relation is a function, when each input of x value gives exactly one output of y-value.
In a function two or more x-coordinates can give same y-value, but one x-value cannot give two y-values.
We can see that in our given set each x-value corresponds to exactly one y-value, therefore, the given set represents a function.
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Answer:
a)
b)
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".
Let X the random variable that represent the mean life span of a brand name tire, and for this case we know the distribution for X is given by:
Part a
We want this probability:
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:
Part b
Let represent the sample mean, the distribution for the sample mean is given by:
On this case
We want this probability:
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: