Of the 58 employees in a firm, 8 are considered support staff, and 7 of the employees have more than five years of experience. A
ll of the support staff
have less than five years of experience. Consider the two events, J and K.
• Event J: Employee is considered support staff.
• Event K: Employee has more than five years of experience.
How many outcomes are possible for the complement of the union of Events J and K?
have less than five years of experience. Consider the two events, J and K.
• Event J: Employee is considered support staff.
• Event K: Employee has more than five years of experience.
How many outcomes are possible for the complement of the union of Events J and K?
1 answer:
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Answer:
And we can find this probability using the normal standard table or excel:
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 amount of ml of a population, 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 using the normal standard table or excel: