suppose that 1 out of 10 plasma televisions shipped with a defective speaker. out of a shipment of n=400 plasma televisions. find the probability that there are
a) at most 40 with defective speakers (Hint: Use the dishonest- coin principle with P= 1/10=0.1 to the find the mean and standard deviation.
B) Most than 52 with defective speakers
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Expert's answer
2019-04-24T09:59:18-0400
Dishonest-Coin Principle
Let X denote the number of heads in n tosses of a coin (assume n≥30). Let p denote the probability of heads on each toss.Then, X has an approximately normal distribution with mean μ=n⋅p and standard deviation σ=n⋅p⋅(1−p).
We have that p=0.1,n=400. Then μ=400⋅0.1=40,σ=400⋅0.1⋅(1−0.1)=6.
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