At a uranium pellet fabrication plant, the average pellet densityis 9500 kg/m^3

Question

At a uranium pellet fabrication plant, the average pellet densityis 9500 kg/m^3 with a standard deviation equal to 500 kg/m^3. What is the probability that a pellet at random has a density <8000 kg/m^3?

Problems 4,1. At a uranium pellet fabrication plant, the average pellet density is 9.5 x 103 kg/m with a standard deviation equal to 0.5 x 103 kg/m3. What is probability that a pel at random has a density less than 8.0 x 103 the kg/m3? rods. probability to find 4.2. A P core contains about 50,000 fuel If the defective one defective rod is 0.1%, what is the probability to find 10 rods in a random sample of 1000?

Explanation / Answer

Mean is 9500 and standard deviation is 500

P(x<8000)=P(z<(8000-9500)/500) or P(z<-3)

Also this can be written as 1-P(z<3)

From the normal distribution table it is 1-0.9987=0.0013

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