Asked by Sherry
The probability that a house is burglarized in the city is 5%. If 50 houses are randomly selected, what is the probability that none will be burglarized?
Answers
Answered by
MathMate
Assuming a large city (so that the sample size does not affect the population probability), then the probability of a house is NOT burglarized is (1-0.05)=0.95.
By the multiplication law, randomly selecting 50 houses not burglarized is
P(50)=0.95^50=0.077.
If you work the other way round, and look for randomly selecting 50 houses ALL burglarized, the probability of that happening is then
P(50)=0.05^50=8.9*10^(-66), very small indeed.
By the multiplication law, randomly selecting 50 houses not burglarized is
P(50)=0.95^50=0.077.
If you work the other way round, and look for randomly selecting 50 houses ALL burglarized, the probability of that happening is then
P(50)=0.05^50=8.9*10^(-66), very small indeed.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.