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1) The speeds of car traveling on Interstate Highway I-35 are normally distributed with a mean of 74 miles per hour and a standard deviation of 6 miles per hour.

(a) Find the standardized variable for the speeds of car traveling on I-35.

(b) Find the percentage of the cars traveling on this highway with a speed

i. of more than 85,

ii. between 65 to 72.

(c) If a BMW is at the speed that is faster than 90 percentage of cars, what is the speed of the BMW?

2) The raw scores in a national aptitude test are normally distributed with mean 506 and standard deviation 81.

(a) What proportion of the candidates scored below 574?

(b) If a student obtains a score such that 98% of the students' scores are lower than hers, what is her score?

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  • Category:- Statistics and Probability
  • Reference No.:- M9991677

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