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Questions tagged [statistics]

Mathematical statistics is the study of statistics from a mathematical standpoint, using probability theory and other branches of mathematics such as linear algebra and analysis.

11,528 questions with no upvoted or accepted answers
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1 answer
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What is the definition of 1 standard deviation.

I know what the standard deviation is. I know about the 68–95–99.7. My question is what is the definition of 1 (just 1) standard deviation. Why is it 68 and not 70. Is it because that's where the ...
Prentice Systems's user avatar
-3 votes
1 answer
144 views

Statistics: Finding mean lifetime with given lifetimes

Given: $P(X>5) = .7$ $P(X>15) = .343$ $P(X < 2.5) = .8367$ Find the mean lifetime. I tried finding $\mu = 1/\lambda$, but that wasn't the correct answer. I'm not sure what equation to ...
CurlyFry's user avatar
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1 answer
112 views

What is the t-score for the relationship between X & Y

The police chief is concerned about alarm systems degrading in city buildings and failing to operate. Using a sample of 100 alarms in operation the previous year, the police department regresses ...
ajn123's user avatar
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1 answer
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How do I determine percentages using the mean and standard deviation?

There are 80 terms, measured in seconds. The standard deviation is 77.96433 (sec). The mean is 267.2375 (sec). What percentage are over 180 seconds? What percentage are between 210 seconds and 300 ...
Liam Parkinson's user avatar
-3 votes
1 answer
40 views

Finding this probability, I need some explanation.

If green and yellow seeds per plants are crossed and $15$ seeds are obtained calculate the probability of getting $(0,1,2,....15)$ green seeds. Green is a dominant and hybrid gene, yellow is a ...
Basheer's user avatar
-3 votes
1 answer
279 views

Probability interval for a cost related to a Poisson random variable.

For a certain section of pine forest, the number of diseased trees per acre, Y, has a poisson distribution with mean of 10. The diseased trees are sprayed with an insecticide at a cost 3 dollars per ...
timmydongy's user avatar
-3 votes
2 answers
987 views

confused about meaning of a expectation of a function

https://en.wikipedia.org/wiki/Bias%E2%80%93variance_tradeoff#Derivation well,in the "Derivation" part of the wiki link. i don't figure out why $E(f)=f$, does it imply that the function $f$ is ...
SDJSK's user avatar
  • 119
-5 votes
1 answer
80 views

How many unique combinations are possible if category contents are limited?

I'm working on a personal project and came across an algorithm problem which stumped me. I need to know whether a user has given my program the correct parameters to create the amount of random ...
Claytone's user avatar

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