5. In a recent survey, graduates of private universities were asked if they were satised with their current job and 63% said they were. Suppose you take a sample of 12 private university graduates and ask each if they are satised with their current jobs. b. [1 points] What type of probability distribution is described by this scenario, and what are the distribution parameters? c. [2 points] What is the probability that all 12 say they are satisfied? Report your answers to Four decimal places. d. [2 points] What is the probability that 4 or Fewer say they are satised? Report your answers to four decimal places. e. [2 points] What is the probability that 3 or more say they are satisfied? Report your answers to four decimal places. f. [1 points] Determine the expected number of graduates who are satised. Report your answers to two decimal places. ?. The weekly output ot' a steel mill is a uniformly distributed random variable that lies between 1211} and 195 metric tons. a. [5 points] What is the probability the steel mill will produce more than ITS metric tons next week? Report your answer to four decimal places. b. [5 points] What is the probability the steel mill will produce between 1312! and use metric tons next week? Report your answer to two decimal places. 13. [Ill points] The manufacturer of an electric car claims the car can travel 310 miles on a single charge. However, the actual distance depends on a number of factors including speed and whether the car is driven in the city or on highways. Suppose that the distance is a normally distributed random variable with a mean of 245 miles and a standard deviation of 25 miles. An owner of this car intends to travel to a nearby city and return on the same charge. If the total distance is 230 miles, what is the probability the car makes it without running out of power? Report your answer to four decimal places