My Notes The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of twelve syringes taken from the batch. Suppose the batch contains 5% defective syringes. Ask Your Te (a) Make a histogram showing the probabilities of r = 0, 1, 2, 3, . 11 and 12 defective syringes in a random sample of twielve syringes. (Select the correct graph.) 0.60- 0.50 0.40 0.30- 0.20 0.10 0 1 2 3 4 5 6 6. 10 11 12 0.60- (4) (b) Find u (in terms of the number of syringes). (Enter a number. Enter your answer to two decimal places.) 3.9 X syringes %3D What is the expected number of defective syringes the inspector will find? (Enter a number. Enter your answer to two decimal places.) syringes (c) What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.) .00 (d) Find o (in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.) O=14.158 X syringes
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
I confused on how to find the u (with a tail) as well as the batch acceptance probabability and standard deviation.
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