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 :-
[tex]\mu= np=(200)(0.01)=2[/tex]
Hence, the number of diodes expected to fail =2
The standard deviation of the number that are expected to fail will be :-
[tex]\sigma=\sqrt{np(1-p)}\\\\\Rightarrow\sigma=\sqrt{200(0.01)(1-0.01)}\\\\=1.40712472795\approx1.407[/tex] [Rounded to three decimal places.]
Hence, the standard deviation of the number that are expected to fail= 1.407
