Match each of the following random variables to the most appropriate distribution for that randomvariable, among those you studied in this class.The number of expressed train in a group of[ Choose ]50 trains that are either normal or expressedThe number of expressed train arrived in a[ Choose )train stationThe waiting time between two expressed[ Choose ]trains at a train stationThe number of normal train arrives in a train[ Choose ]station until the first expressed train came in

Binomial Distribution Binomial distribution is a discrete distribution. It consists of two outcomes…

Answered: Match each of the following random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The number of tickets purchased by an individual for Beckham College's holiday music festival is a uniformly distributed random variable ranging from 3 to 9. what is the standard deviation of this random variable?
The expected value of a random variable X that is denoted by uis called its: a. median. O b. variance. mean. O d. mode.
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 53 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 53 tons and standard deviation o = 1.3 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 52.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 42 cars chosen at random will have a mean load weight x of less than 52.5 tons of coal? (Round your answer to four decimal places.)
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 70 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 70 tons and standard deviation o = 1.4 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 69.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 30 cars chosen at random will have a mean load weight x of less than 69.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes O No Suppose the weight of coal in 30 cars selected at random had an average x of less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? O Yes, the probability that…
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P =
For normally distributed random variables, how would one verify the empirical rule percentages using z scores? Multiple choice question. Find P(-2 ≤ Z ≤ 2) from a standard normal table and compare to 68%. Find P(-1 ≤ Z ≤ 1) from a standard normal table and compare to 95%. Find P(-2 ≤ Z ≤ 2) from a standard normal table and compare to 99.7%. Find P(-1 ≤ Z ≤ 1) from a standard normal table and compare to 68%.
In a group of 25 people, a person tells a rumor to a second person, who in turn tells it to a third person, and so on. Each person tells the rumor to just one of the people chosen at random, excluding the person from whom he/she heard the rumor. The rumor is told 10 times. What is the probability that the rumor will not return to the originator?

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