Download SMAM 314 Quiz 6 Name__________ Use the normal approximation

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SMAM 314
Quiz 6
Name__________
Use the normal approximation to the binomial distribution with the continuity correction
to do this problem.
The manufacturing of semiconductor chips produces 2% defective chips. Assume the
chips are independent and that a lot contains 1000 chips. Approximate the probability that
more than 25 chips are defective.
µ = 1000(.02) = 20
! = 1000(.02)(.98) = 4.427
25.5 " 20 &
#
P(X > 25) = P % Z >
( = P(Z > 1.24) = 1 " P(Z ) 1.24)
$
4.427 '
= 1 " .8925 = .1075
or normalcdf(25.5,10^99,20,4.427)=.1071