A sociology instructor asks students to make lists of the characteristics of the best and worst possible instructors. These list
1 answer:
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Answer:
The answer is
Explanation:
This is because, if it takes 2 hours to detect 2 defects, In 24 hours, the total defect to be detected is 24.
The probabilty of less than (Total) of 4 defect =
1 - probability of it been 4 (in an entire shift)
probability of been 4 = =
Therefore,
probability of less than 4 = =
Answer:
And if we solve for a we got
So the value of height that separates the bottom 90% of data from the top 10% is 64.4.
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 velocity of a population, and for this case we know the distribution for X is given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.90 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 90% of data from the top 10% is 64.4.