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Tristabergeron5650
23.10.2019 •
Mathematics
The probability that the noise level of a wide-band amplifier will exceed 2 db is 0.05 independently of every other amplifier. consider a concert hall with 12 such amplifiers. b) find the probability that at most two will exceed 2db. set up your equations in your work. also round your answer to the nearest three decimal places.
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Ответ:
0.980
Step-by-step explanation:
The probability that the noise level of a wide-band amplifier will exceed 2 dB is 0.05
So, probability of success = 0.05
Probability of failure = 1-0.05=0.95
There are 12 amplifiers
We are supposed to find the probability that at most two will exceed 2dB.
We will use binomial distribution
Formula :![P(X=r)=^nC_r p^r q ^{n-r}](/tpl/images/0341/6734/90241.png)
p = 0.05
q = 0.95
n = 12
We are supposed to find the probability that at most two will exceed 2dB.
So,![P(X\leq 2)=P(X=0)+P(X=1)+P(X=2)](/tpl/images/0341/6734/6643f.png)
Hence the probability that at most two will exceed 2dB is 0.980
Ответ:
Step-by-step explanation:
let the height of tree=h