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Vilka [71]
3 years ago
13

In proof testing of circuit boards, the probability that any particular diode will fail is 0.01. Suppose a circuit board contain

s 200 diodes. (a) How many diodes would you expect to fail? 2 Correct: Your answer is correct. diodes What is the standard deviation of the number that are expected to fail? (Round your answer to three decimal places.)
Mathematics
1 answer:
castortr0y [4]3 years ago
5 0

Answer:   a) 2  b) 1.407

Step-by-step explanation:

Given : The probability that any particular diode will fail : p=0.01

The number of diodes in a circuit : n= 200

The number of diodes expected to fail will be :-

\mu= np=(200)(0.01)=2  

Hence, the number of diodes expected to fail =2

The standard deviation of the number that are expected to fail will be :-

\sigma=\sqrt{np(1-p)}\\\\\Rightarrow\sigma=\sqrt{200(0.01)(1-0.01)}\\\\=1.40712472795\approx1.407 [Rounded to three decimal places.]

Hence, the standard deviation of the number that are expected to fail= 1.407

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