Rivets A company that manufactures rivets believes theshear strength (in pounds) is modeled by N(800, 50).a) Draw and label the Normal model.b) Would it be safe to use these rivets in a situationrequiring a shear strength of 750 pounds? Explain.c) About what percent of these rivets would you expectto fall below 900 pounds? d) Rivets are used in a variety of applications with vary-ing shear strength requirements. What is the maximum shear strength for which you would feel comfort-able approving this company’s rivets? Explain your reasoning.
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!
shear strength (in pounds) is modeled by N(800, 50).
a) Draw and label the Normal model.
b) Would it be safe to use these rivets in a situation
requiring a shear strength of 750 pounds? Explain.
c) About what percent of these rivets would you expect
to fall below 900 pounds?
ing shear strength requirements. What is the maximum
able approving this company’s rivets? Explain your
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