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1. (50 points) Suppose the average number of miles that car can travel before its transmission ceases to exist is 100,000. What is the probability

1. (50 points) Suppose the average number of miles that car can travel before its transmission ceases to exist is 100,000. What is the probability that a car's transmission will fail during its first 60,000 miles of operation?

2. (50 points) GRE score follows normal distribution with average 500 and standard deviation 100. What is the probability that GRE score of student will be more than 420?

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