A weather forecaster predicts that the rainfall in September in a local area will be between five and eleven inches but has no idea where within the interval the actual amount will be. In other words, all amounts within that interval are equally likely. (a) What kind of tandom variable would rainfar be? Let X= the amount of rainfall in September in the local area. (b) What would be a reasonable probability distribution to use to model the rainfall-assuming that the likelihood of rain over the range of possible amounts is the same? (c) (d) Write the formula for the probability density function of X. pdi(x)= (e) What is the probability that rainfall will be at most six inches? (Round your answers to 4 decimal places.) PX6)= (f) What is the probability that rainfall will be more than six inches? (Round your answers to 4 decimal places.) P(x>6)=