SOLUTION: A Burglar alarm system has 6 fail safe components. The probability of each failing is 0.05. Find these probabilities using your calculator and the binomial (n,p,x) feature. a) E

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Question 187880This question is from textbook Elementary Statistics
: A Burglar alarm system has 6 fail safe components. The probability of each failing is 0.05. Find these probabilities using your calculator and the binomial (n,p,x) feature.
a) Exactly 3 will fail
b) Fewer than 2 will fail
c) None will fail
Please help me solve this problem. I don't really know how to determine which one is n,p,or x. For a) i tried n=6 p=0.05 and x=3 after plugging numbers in calculator it gave me =.00214 is this correct? how do i do b or c?
This question is from textbook Elementary Statistics

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A Burglar alarm system has 6 fail safe components. The probability of each failing is 0.05. Find these probabilities using your calculator and the binomial (n,p,x) feature.
n is the number of trials
p is the probability of whatever even you are looking for
x is the number of those events you are looking for
---------------------------------
a) Exactly 3 will fail
binompdf(6,0.05,3) = 0.0021
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b) Fewer than 2 will fail
binomcdf(6,0.05,1) = 0.9672
--------------------------
c) None will fail
binompdf(6,0.05,0)= 0.7351
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Cheers,
Stan H.
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Please help me solve this problem. I don't really know how to determine which one is n,p,or x. For a) i tried n=6 p=0.05 and x=3 after plugging numbers in calculator it gave me =.00214 is this correct? how do i do b or c?

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