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Q1.The time T(in minutes) between telephone calls at an office has the following probability density function: (a) What is the mean time between

Q1.The time T(in minutes) between telephone calls at an office has the following probability density function:

(a) What is the mean time between telephone calls?

(b) What is the probability of having 2 or more minutes between telephone calls? 

Q2.Twenty percent of all cars manufactured by a certain company have a defective transmission system. If a dealer has sold 200 of these cars, what is the APPROXIMATE probability that less than 30 of them have a defective transmission system? (Be sure to define appropriate random variables, and justify the use of the approximation that you use.) 

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