Slaughtered Chicken: testing for contamination

Tascja

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Mar 4, 2006
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One in every 100 slaughtered chickens pass the USDA inspection with fecal contamination. Consider a random sample of three slaughtered chicken that pass the USDA inspection. Let x equal the # of chicken in the sample that have fecal contamination.

Is my work correct?

a) Find P(x) for x= 0, 1, 2, 3
b) Graph P(x) ...not applicable...
c) Find P(x<_ 1)

a) this is a binomial distribution
P(x) = (n (p^x)(q^n-x)
x)

P(x=0) = .729
P(x=1) = .081
P(x=2) = .027
P(x=3) = .001

c) P(x<_k)
p = .01
k = 1
n = 3

= p(x=0) + p(x=1)
= .729 + .081
= .81
 
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