the probability for an engine to be running is .9
what is the probability that at least one engine is running if there are five engines?
2007-06-18 11:00:15 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
I'm not sure of any one theorem that states how to do this, but think about it intuitively. The probability that at least one engine is running is the same as:
100% - chance that no engines are running
What is the chance that no engine is running? Each engine has a 0.1 chance of not running. (0.1)^5 = 10^-5.
1 - 10^-5 = 99.999%
2007-06-18 11:10:33 · answer #1 · answered by Alfred Sauce 3 · 0⤊ 0⤋
oh use binomial theorem.
X~B(0.9,5)
Probability that at least one engine is running
= P(X>0)
= 1 - P(X=0)
2007-06-18 18:18:09 · answer #2 · answered by blackbobbypin 2 · 0⤊ 0⤋
1 - 0.1^5
or 1 - 0.1*0.1*0.1*0.1*0.1
In other words, you have to compute the probability that NONE of the engines is running and subtract that from 1.0
2007-06-18 18:09:24 · answer #3 · answered by dogsafire 7 · 0⤊ 0⤋
59049/100000
2007-06-18 18:06:13 · answer #4 · answered by Anonymous · 0⤊ 0⤋