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- The duration of a professors class has a continuous uniform distribution between 50.0 minutes and 52.0 minutes. If one class is randomly selected, find the probability that the professors duration of the class is more than 50.9 minutes.If the random variable x has a Poisson Distribution with mean μ = 3.95, find the probability that x = 16.The lengths of your statistics class has a continuous uniform distribution between 46 minutes and 58 minutes. Let X be the length of a class in minutes. If one section is randomly selected, answer the following questions What is the distribution of X? What is the probability that the class is at most 55 minutes long? What is the probability that the class is less than 51 minutes or more than 56 minutes long?
- . You are given the following. 470 = 0.04 471 = 0.05 • deaths are uniformly distributed within cach year of age. Calculate the probability that (70) will die between ages 70.5 and 71.5. a. Less than 0.0432 b. At least 0.0432, but less than 0.0437 C. At least 0.0437, but less than 0.0442 d. At least 0.0442, but less than 0.0447 e 0.0447 or moreDelta Airlines quotes a flight time of 2 hours, 10 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 30 minutes.(a) Show the graph of the probability density function for flight time. (b) What is the probability that the flight will be no more than 5 minutes late? (c) What is the probability that the flight will be more than 10 minutes late? (d) What is the expected flight time? What is the variance of the flight time?Suppose the amount of gasoline sold daily at a service station is uniformly distributed with a minimum of 1571 gallons and a maximum of 8154 gallons. What is the probability that daily sales will fall between 1951 gallons and 4845 gallons?
- The time it takes me to wash the dishes is uniformly distributed between 12 minutes and 20 minutes.What is the probability that washing dishes tonight will take me between 14 and 19 minutes?Give your answer accurate to two decimal places.The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. If one such class is randomly selected, find the probability that the class length is less than 51.6 min.The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is more than 50.7 min.