A DJ has a total of 1075 dance, rock, and country songs on her system. The dance selection is three times the size of the rock s
2 answers:
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Answer:
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".
Solutio to the problem
Let X the random variable that represent the amount of beer in each can of a population, and for this case we know the distribution for X is given by:
Where and
For this case we select 6 cans and we are interested in the probability that the total would be less or equal than 72 ounces. So we need to find a distribution for the total.
The definition of sample mean is given by:
If we solve for the total T we got:
For this case then the expected value and variance are given by:
And the deviation is just:
So then the distribution for the total would be also normal and given by:
And we want this probability:
And we can use the z score formula given by:
Answer:
Please see the attachment for double number line.
Explanation:
We are given cost of 4 water bottles is $10
We can write ,
Cost of 4 bottles = $10
Cost of 1 bottle = $2.5
Cost of 2 bottles =$5
Cost of 3 bottles = = $7.5
Cost of n bottles = $2.5n
Now we draw the double number line.
Bottom line(Line 1) will take as number of bottles:
1 2 3 4 5 6
Above line (Line 2) will show the cost of corresponding number of bottles:
2.5 5 7.5 10 12.5 15
