If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data?
1 answer:
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Answer:
a)
b)
Step-by-step explanation:
1) 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".
2) Part a
Let X the random variable that represent the duration of a safe dosage of pain relief drug, 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 on this way:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
3) 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 on this way:
Answer:
x = - 9 , 6
Step-by-step explanation:
The given function is
⇒
Therefore, the value of h(x) will be undefined for the denominator equal to zero.
So, (x + 9)(x - 6) = 0
⇒ x = - 9 and x = 6
Therefore, the values of x which are not in domain of function h(x) are x = - 9 , 6. (Answer)