What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings
1 answer:
Answer: The experimental probability is 70 %
Step-by-step explanation:
According to the given question have to find that the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings
As we know that,
If 10th-grade student chosen at random has at least one, but no more than two, siblings
Therefore, there can be one or two siblings
Such that, the total number of such students
Now, number of favorable outcomes =28 and total number of students
Now,
%
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Answer:
a)
b)
c)
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".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let represent the sample mean, the distribution for the sample mean is given by:
On this case
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
We want this probability:
If we apply the formula for the z score to our probability we got this:
Part c
We are interested on this probability
If we apply the Z score 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.