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What is the approximate chance that my daughter

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My daughter loves dancing. In fact, she loves it so much that she takes classes 4 days a week for 42 weeks a year and therefore puts serious wear on her dancing shoes. Of course, some dance classes cause more wear than others. Suppose the wear on her shoes from each dance class has a mean of 0.09mm of shoe sole and standard deviation of 0.025mm.

a) If the soles of her dancing shoes are 15.5mm think. What is the approximate chance that my daughter's shoes last out the 168 classes she takes in a year?

b) In fact, shoe wear is uneven between right and left shoes. Suppose wear on the right shoe at any dance class is normal with mean 0.1mm and standard deviation 0.03mm, while wear on the left shoe is normal with mean 0.08mm and standard deviation 0.02mm. Further, suppose the correlation between wear on each shoe on the same day is 0.8. If the right shoe sole was worn down by 0.12mm frin today's class, what is the probability that today's left shoe wear is less than 0.1mm?

Reference no: EM132342745

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