The length of a rope was 6/8 yard.Jeff cut the rope into 3 pieces. Each piece is a different length measured in eighths of a yar
2 answers:
The length of the rope was yard
Jeff cut the rope into 3 pieces.
Each piece is a different length measured in eighths of a yard which means that the denominator of each piece should be same which is 8
As each piece is of different length so the numerator of each piece will be different.
But the total of the numerator should be 6
So the numerators will be 1, 2 and 3
Since 1 + 2 + 3 = 6
So length of each piece will be
yard
yard
and yard
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Answer:
And we can find this probability using the complement rule and with excel or the normal standard table:
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 weights 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 complement rule and with excel or the normal standard table:
= 2025
When you are told to find the smallest length possible, you perform L.C.M(Least common multiples)
For this, you divide the given lengths using the numbers that divides all through.
I have added an image to this answer. Go through it for more explanation
