Answer:
And we can find this probability with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
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 number of gallons 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 the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Answer:
The answer to your question is 1/8
Step-by-step explanation:
Data
Total volume = 1 gallon
Water drank by the hiker = 1/2
Water drank by each of his friends = ?
Process
1.- Calculate the water that he gave to his friends
Water gave to his friends = 1 - 1/2
= 1/2
2.- Calculate the amount of water each friend received.
1/2 ÷ 4 = 1/8
3.- Conclusion
Each of the friends received 1/8 of the gallon.
2(x+4)=18
2•x + 2•4 = 18
2x + 8 = 18
2x + 8 = 18
- 8 -8
_________
2x = 10
2x = 10
__ __
÷2 ÷2
x = 5