Problem 3 (20 pts) A sample of 70 units is selected from a production process th

Question

Problem 3 (20 pts) A sample of 70 units is selected from a production process that is 1.5% nonconforming. What is the probability that p will exceed the true fraction nonconforming by k standard deviations, where k = 1, 2 and 3? Problem 4 (15 pts) Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.2 defects per unit. Find the probability that a randomly selected unit will contain at least three surface-finish defects. Proble 5 (15 pts) The output voltage of a power supply is normally distributed with mean 15 V and standard deviation 0.07 V. If the lower and upper specifications for voltage are 14.94 V and 15.06 V respectively, what is the probability that a power supply selected at random will conform to the specifications on voltage? Problem 6 (20 pts) Continuation of Problem 5. Reconsider the power supply manufacturing process in Problem 5. Suppose we wanted to improve the process. Can shifting the mean reduce the number of nonconforming units produced? How much would the process variability need to be reduced in order to have all but one out of 400 units conform to the specifications?

Explanation / Answer

N=70 ; p=0.015 and q=0.985

Mean =np=70*0.015=1.05

Standard deviation =sqrt(npq) = sqrt(70*0.015*0.985) = 1.016

Z = 1 P(z>1)= 0.1587

Z=2 P(z>2)=0.0228

Z=3 P(Z>3)=0.0013

Plase repost the other questions individually.

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