You can square the whole problem to cancel out the square root. Might make things easier.
The product of three whole numbers is 120 how many different possibilities are there for the three whole numbers
1 answer:
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Answer:
And using the normal standard table or excel we find the probability:
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 avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then, the distribution for the sample mean is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability: