A manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs
1 answer:
Answer:
Step-by-step explanation:
Let X be the solvent present
Then given that the manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs of solvent.
X is N(101.3, 3.68)
a)
Probability = 0.6368
b) means Z score = 1.88
X=100+1.88(s) =101.3
s=1.3/1.88=0.6914
You might be interested in
Answer:And we can find this probability with this difference:
And in order to find these probabilities we use tables for the normal standard distribution, excel or a calculator.
So then the best answer would be 21.82 %
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 time it takes to trim a tree 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 with this difference:
And in order to find these probabilities we use tables for the normal standard distribution, excel or a calculator.
So then the best answer would be 21.82 %
Answer:
Step-by-step explanation:
You divide both sides by <em>m</em><em> </em>to get the above answer:
I am joyous to assist you anytime.