(Steps Shown) Suppose that Batman decides to drop the assumption of normality for cable breaking strength. He has decided to instead assume that the median


Question: Suppose that Batman decides to drop the assumption of normality for cable breaking strength. He has decided to instead assume that the median breaking strength of the cable is 2600 pounds. In his sample of size 20 he found that 12 of the pieces of cable had breaking strength over 2600 pounds whereas 8 had breaking strength under 2600 pounds, which seem to support his assumption or even the assumption of a possibly higher median. What is the probability that in 20 independent observations of cable breaking strength we find no more than 8 have breaking strength less than 2600 pounds if the true median is exactly 2600 pounds?

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