Tom spent 2.5 hours mowing his neighbors yard. If Tom spent $5 on gas and was paid $25 total. How much
1 answer:
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Answer:
And if we solve for a we got
So the value of height that separates the bottom 85% of data from the top 15% is 25.27.
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 finishing time of a population, and for this case we know the distribution for X is given by:
Where and
Solution to the problem
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 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15
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 85% of data from the top 15% is 25.27.
Answer:
Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is .
Step-by-step explanation:
From the given question, the bag contains;
$1 bill = 7
$5 bill = 1
$10 bill = 3
$20 bill = 2
Total number of bills in the bag = 13
Pulling a bill at random, the bills would have an expected value as follows:
For $1 bill, the expected value =
For $5 bill, expected value =
For $10 bill, expected value =
For $20 bill, the expected value =
Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is .