Answer:
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Step-by-step explanation:
Pythagorean Theorem
I’m confused on this one
1 answer:
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Answer:
There is a 1.39% probability that "B is between A and C in the queue".
Step-by-step explanation:
The first step to solve this problem is find the total number of possible orderings:
The first person of the queue can be any of the six. The second, can be any but the first, so five.
So
There are 6*5*4*3*2*1 = 720 total queue orderings.
Now we find the number of queues that B is between A and C. So:
We have:
B as the second, A as the first and C as the third
B as the second, C as the first and A as the third
B as the third, A as the second and C as the fourth
B as the third, C as the second and A as the fourth
B as the fourth, A as the third and C as the fifth.
B as the fourth, C as the third and A as the fifth.
B as the fifth, A as the fourth and C as the sixth.
B as the fifth, C as the fourth and A as the sixth.
So 8 total outcomes in which B is between A and C.
What is its probability?
There is a 1.11% probability that "B is between A and C in the queue".
Answer:
a) The range is (1199, 1267)
b) The range is (1165, 1301)
c) The range is (1131, 1335)
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".
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
Part a
For this case we can use the statement from the empirical rule "68% of the data falls within the first standard deviation (µ ± σ)", and we can find the limits like this:
The range is (1199, 1267)
Part b
For this case we can use the statement from the empirical rule "95% of the data within the first two standard deviations (µ ± 2σ)", and we can find the limits like this:
The range is (1165, 1301)
Part c
For this case we can use the statement from the empirical rule "99.7% of the data within the first three standard deviations (µ ± 3σ)" and that represent almost all the data, and we can find the limits like this:
The range is (1131, 1335)