Sara and Macki were doing a math activity together in class. They were told to review the two problem solutions shown below and
determine which of the two cards is correctly solved.
Which of the two cards is correctly solved?
Which of the two cards is correctly solved?
1 answer:
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Answer:
And the best way to solve this problem is using the normal standard distribution and the z score given by:
Using the z score formula we want this probability:
And using the complement rule we got:
And that correspond to only 0.023*100= 2.3%, so is not frequently and the most appropiate answer for this case would be:
No. This event happens only 2.5% of the time
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".
Solution to the problem
Let X the random variable that represent the variable of interst of a population, and for this case we know the distribution for X is given by:
Where the mean and
the deviation
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:
Using the z score formula we want this probability:
And using the complement rule we got:
And that correspond to only 0.023*100= 2.3%, so is not frequently and the most appropiate answer for this case would be:
No. This event happens only 2.5% of the time