NORMAL DISTRIBUTION1) The heights of students at a local university are normally distributed with a mean of168cm and a standard deviation of 8cm. One of these students is chosen at random.a) Find the probability that the height of the student is:i) less than 172cmii) between 160cm and 170cmb) Given that 30% of all these students have heights less than Hcm, find the value ofH, correct to one decimal place.2) The speeds of vehicles passing a point on the roadside of a highway are normallydistributed with a mean of 102 km/h and a standard deviation of 15 km/h.a) Find the probability that the speed of a vehicle, selected at random:i) is less than 75 km/hii) lies between 78 km/h and 114 km/hb) The number of vehicles passing in one hour is 245. Estimate the number of thosewhich exceeds the speed limit of 120 km/h.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A professor gives a test to her calculus students. The scores are approximately normally distributed with mean 75 points and standard deviation 9 points. The professor decides to give As to approximately 10% of the students but not less than 10%. Find the cutoff score for an A.
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