The random variable X represents the number of cars per household in a town of1000 households along with the corresponding probabilities.234Probabilit0.125 0.428 0.256 0.108 0.083y of Xa. Verify that probability distribution for the random variable X is valid.b. Calculate the expected value of X.c. What is the probability that X < 2? The scores out of 50 points on a recent vocabulary test for all of the 120 studentsenrolled in a statistics class at a local high school is approximately normallydistributed with a mean of 34.82 points and a standard deviation of 5.02 points. Theteacher plans to select a random sample of 6 students to survey about how toincrease student performance on the next vocabulary test.a. Calculate the mean and standard deviation of the sampling distribution of X, the= 6.sample mean number of points scored by students for samples of size n =b. Interpret the standard deviation of the sampling distribution calculated in part (a).c. The teacher believes that if a student scored less than 30 points, the student willhave a different opinion than if a student scored more than 30 points. Calculate theprobability that in a random sample of 6 students, the sample average would be lessthan 30 points.

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Description: The random variable X represents the number of cars per household in a town of1000 households along with the corresponding probabilities.234Probabilit0.125 0.428 0.256 0.108 0.083y of Xa. Verify that probability distribution for the random variable

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0 1 4 Probabilit 0.125 0.428 0.256 0.108 0.083 y of X rify that probability distribution for the random variable X is valid. alculate the expected value of X. hat is the nrohability that X < 2? 2.

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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