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#1 Suppose a random variable X follows a uniform distribution with minimum 10 and maximum 50....

#1 Suppose a random variable X follows a uniform distribution with minimum 10 and maximum 50. What is the probability that X takes a value greater than 35? Please enter your answer rounded to 4 decimal places.

#2 Suppose X follows an exponential distribution with rate parameter 1/10. What is the probability that X takes a value less than 8? Please enter your answer rounded to 4 decimal places.

#3 Suppose the amount of time a repair agent requires to fix a furnace has a uniform distribution with a minimum of 30 minutes and a maximum of 5 hours. What is the probability that the repair agent will take less than 1 hour to complete the repair? Please round your answer to 4 decimal places.

#4 Suppose cars pass an intersection at a rate of 120 per hour. What is the probability that we need to wait between 25 and 30 seconds for the next car to pass? Please round your answer to 4 decimal places.

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