Assignment Solutions
The time between release from prison and the commission of another crime is uniformly distributed between 0 and 5 years for a high-risk group. Give the equation and graph the…
The article "Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants" (Water Research [1984]: 1169-1174) suggests the uniform distribution on the interval from 7.5 to 20 as a model for…
The hardness of a piece of ceramic is proportional to the firing time. Assume that a rating system has been devised to rate the hardness of a ceramic piece and…
Suppose that a class in elementary statistics was allocated 15 minutes to complete a quiz. It can be assumed that the time X it takes to complete the quiz is…
The time it takes to make a kitchen cabinet is uniformly distributed and ranges between 125 to 200 minutes. a. What is the probability that it takes exactly 180 minutes…
A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is…
Suppose the times required for a cable company to fix cable problems in its customers' homes are uniformly distributed between 10 minutes and 25 minutes. What is the probability that…
Use the runif() function (with set.seed(32078)) to generate 10 pseudorandom numbers from (a) the uniform (0, 1) distribution (b) the uniform (3, 7) distribution (c) the uniform (-2, 2) distribution.…
The waiting time at a bus stop is uniformly distributed between 1 and 12 minute. (a) What is the probability density function? (b) What is the probability that the rider…
The actual amount of coffee (in grams) in a 230-gram jar filled by a certain machine is a random variable whose probability density is given by $$ \begin{aligned} f(x)=\left\{ \begin{array}{ll}…
