2 14 100% 5. Shipments arrive at distribution centre on average every 10 minutes. In the next 10-minute period, you expect one shipment to arrive. This is well modelled by a uniform distribution. a) Outline a probability for the time that the next shipment arrives at the distribution centre and determine the probability density function. b) Determine the probability that the shipment will arrive in less than 6 minutes. c) Graph the probability density function and show the probability that the shipment will arrive in less than 6 minutes graphically. Homework Answedocx Assignment 6 (2).pdf 12 (14).pdfIntroduction to Continuous Probability Distributions 1. Why do we always define the random variable models of probability distributions in the following manner? Let X be the random variable that represents the next measurement. 2. Identify the following random variables as continuous or discrete. a) the number of field goals a place kicker makes in the next football game. b) the length of time between the next two interruptions at a reception area c) the number of computer operations that be performed before the next hard drive crashes. d) the number of times that a roulette ball lands on a red number in the next twenty plays. e) the mark expressed as levels (1, 2, 3, 4) obtained on the next question of a test f) the time between two beeps on a geiger counter g) the error in the next measurement of the time required for a runner to run the 100m sprint. h) the winning ticket number on the next lotto draw i) the next number between 0 and 1 that is produced by a random number generator Homework Answedocx A Call Assignment 6 (2).pdf 12 (14).pdf100%% 4. Five hundred tickets (numbered 1-500) have been sold for Well-For-People, a charity that drills wells for people who do not have access to clean drinking water. Each ticket costs $20 and the grand prize is a gift certificate for supper, a pair of tickets to a play at the National Arts Centre and a night accommodation a reputable hotel, all of which were donated. a) Outline the model for the probability distribution of the next ticket number drawn to win the prize. b) If you brought five tickets numbered 10, 11, 12, 13 and 14, what is the probability of that you will win the prize? c) Sketch the probability distribution (you may have in interrupted scale along the horizontal axis) and show the probability (from b) above) that you will win the prize on the graph