Hw on uniform and Normal Continuous Distributions 1. Let X be the continuous random variable of the number of days a shaky tooth takes to fall out for a million children. X follows a uniform distribution between day 1 and day ll. A.)Determine the probability density function of this distribution. B.) Determine the probability that a child's shaky tooth will fall out between week 1 and week 4 if a random child is selected from the population. C.) Determine within how many days the earliest 111% of tooth dropout in this population. 2. In an experiment that follows a normal distribution for a continuous random variable X it is given X~(?.6,1.5}. A.) if the distribution is standard, what value of x has a z score of ~1.6? B} What is the Z score of the value Jt=1? C) if the distribution is general, with the population equal to EDGE:- determine what percentage of the population has a measurement between 5.1 and 1D.EI