Suppose a uniform random variable can be used to describe the outcome of an experiment with the outcomes ranging from 30 to 80. a. (4 points) Calculate the value of f(x) b. (4 points) What is the probability that this experiment results in an outcome less than 40? Show your work! c. (4 points) What is the probability that this experiment results in an outcome between 40 and 70? Show your work! (4 points) Find the 33rd percentile of the distribution. Show your work