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Questions about systematic data collection and organization, or the application of probability theory to model the inherent patterns and properties of sampled data, underlying data distribution(s) or random processes.

3 votes
3 answers
236 views

How to use Mathematica to find the mode of a set of data? [closed]

Mode[{2, 3, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10}] Why can't the mode command be used to find the mode of a set of data?
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0 votes
1 answer
88 views

How to solve a problem about data when a certain percentile number is known?

Given that the 75th percentile of the data set is 6, how can we find the value of parameter a? data = {1, 1, a, 4, 5, 5, 6, 7} Why didn't the following method yield the value of a? Clear["`*"] data = …
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  • 1
1 vote
0 answers
88 views

Is there a difference in the definition of the pth percentile in Mathematica? [closed]

The pth percentile of a set of n data can be calculated by the following steps: Step 1: arrange the original data in ascending order. Step 2: calculate i=n*p%. Step 3: if i is not an integer and the n …
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  • 1
2 votes
3 answers
165 views

How to find the K value in the probability inequality of binomial distribution?

dist = BinomialDistribution[100, 1/3] Solve[{PDF[dist, k] >= PDF[dist, k - 1], PDF[dist, k] >= PDF[dist, k + 1]}, k] // FullSimplify In this binomial distribution, when the value of K is, the pr …
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  • 1
0 votes
1 answer
88 views

How to Chi-square test in statistics? [duplicate]

Can we be 99% sure that there is a difference between the health habits of the group suffering from the disease and the group not suffering from the disease? The calculation formula and data are shown …
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1 vote
2 answers
140 views

The problem of finding the maximum coefficient term in the binomial expansion, find the valu...

The problem is shown in the figure, and the result should be the range of K obtained at the end of the image Reduce[{Binomial[n, k] a^(n - k) b^k >= Binomial[n, k + 1] a^(n - k - 1) b^(k + 1), …
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0 votes
1 answer
242 views

How to Draw a Probability Tree Diagram to Calculate the Probability of Badminton Competition...

Question: A, B, and C students will participate in a badminton competition, and the agreed format is as follows: Those who have accumulated two losses are eliminated; Draw lots before the competition …
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-4 votes
2 answers
137 views

How can we solve this probability problem through code?

Person A and Person B each have four cards, with each card marked by a number. Person A's cards are marked with the numbers 1, 3, 5, 7, and Person B's cards are marked with the numbers 2, 4, 6, 8. The …
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1 vote
2 answers
150 views

A probability problem involving no replacement

Question: There are 6 identical balls, numbered 1, 2, 3, 4, 5, 6. Three balls are drawn successively without replacement. Let m be the average of the numbers on the first two balls drawn, and let n be …
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1 vote
2 answers
85 views

Alternative Methods to Calculate Expected Value and Variance of Discrete Random Variables [closed]

discrete random variable: Draw a list Clear["`*"] distTable = {{\[Xi], 0, 0.8, 1.6, 2.4, 3}, {P, 0.8, 0.1, 0.06, 0.03, 0.01}}; grid = Grid[distTable, Alignment -> Center, Dividers -> All] C …
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  • 1
-4 votes
3 answers
87 views

Determining the Probability of f(x) > b for Given Intervals of a and b

Let the function $f(x) = ax + \frac{x}{x-4}$ for $x > 4$. If $a$ is chosen from the numbers 1, 2, 3, 4 and $b$ is chosen from the numbers 4, 8, 12, 16, 20, 24, then the probability that $f(x) > b$ hol …
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  • 1
-3 votes
1 answer
48 views

Probability Problem Involving Dice Rolls: Conditional Probabilities of Events A and B [duplicate]

Throw red and blue dice, event A is "the number of blue dice points is 4 or 6", event B is "the sum of the two dice points is greater than 8", then P(B|A)=_____, P(A|B)=_____. My method is as follows: …
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  • 1
-2 votes
1 answer
61 views

Probability Theory and Statistics Multiple Choice Question: Independence of Events in Sequen...

There are six identical balls, labeled with the numbers 1, 2, 3, 4, 5, and 6. They are randomly drawn twice with replacement, each time drawing one ball. Event "A" is defined as "the number of the bal …
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5 votes
3 answers
489 views

Probability of Forming an Equilateral Triangle from a Cube's Vertices

From the eight vertices of a cube, if three points are chosen at random to form a triangle, what's the probability that this triangle is an equilateral triangle? Options: A. 1/7 B. 1/14 C. 2/7 D. 4/35 …
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6 votes
5 answers
1k views

How to calculate the number of prime numbers in a group of numbers?

If two different numbers are randomly selected from seven integers from 2 to 8, what is the probability of the two numbers being mutually prime? Take 2 different numbers randomly from 7 integers from …
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