2. The weight of potato chips in a medium-size bag is stated to be 10 ounces. The amount that the packaging machine puts in these bags is believed to have a Normal model with mean 10.2 ounces and standard deviation 0.12 ounces. Some of the chips are sold in “bargain packs” of 3 bags. What’s the probability that the mean weight of the 3 bags is below the stated amount?
Please show all work.
Please no handwritten work, just typed.
GIVEN:
mean=10.2
standard deviation=0.12
n=3
the probability that the mean weight of the 3 bags below the stated amount
p(xbar less than 10)= P(X < 10)
=p(x-µ/σ/ √ N < 10-10.2/0.12/ √ 3)
= p(z<-0.2/0.07)
=p(z<-2.85)
=1-p(z<2.85)
= 1-0.0978
=0.0022
2. The weight of potato chips in a medium-size bag is stated to be 10 ounces....
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