Scores on a certain standardized test, IQ scores, are approximately normallydistributed with mean μ = 100 and standard deviation o=15. Here we are referring tothe distribution of scores over a very large population, and we approximate thatdiscrete cumulative distribution function by a normal continuous cumulativedistribution function.(a) An individual is selected at random. What is the probability that his score Xsatisfies 120 < X < 130?(b) Two individuals are selected at random, independently. What is the probabilitythat their scores X and Y satisfy max (X,Y) > 120?

Answered: Image /qna-images/answer/18c78aba-5414-418c-9228-61fc43db96ca.jpg

Answered: Scores on a certain standardized test,…

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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3 Historical evidence indicates that times between fatal accidents on scheduled American domestic passenger flights have an approximately exponential distribution. Assume that the mean time between accidents is 44 days. (a) If one of the accidents occurred at 12:00 am on August 1 of a randomly selected year in the study period, what is the probability that another accident occurred that same month? (Round your answer to four decimal places.) (b) What is the variance of the times between accidents?
If there is an association between two variables, which is true? 1- the scores of the cases are approximately equal 2- the distributions of the scores approach normality 3- all of the scores are in the same row in the bivariate table 4- the conditional distributions of Y change
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The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that wouldstill place a student in the top5 % of UGPAs? (b) Between what two values does the middle 50 % of the UGPAs lie?
A normal distribution has a mean of=100 with a SD= 20 . If one score is randomly selected from this distribution. What is the probability that the score will have a value between X=100 and X=130? NOTE: Using the z-score table attached
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Fifteen items or less: The number of customers in line at a supermarket express checkout counter is a random variable with the following probability distribution. X 0 1 2 3 4 5 P(x) 0.05 0.25 0.30 0.25 0.10 0.05 Send data to Excel
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 15% of UGPAS? (b) Between what two values does the middle 50% of the UGPAS lie? (a) The minimum UGPA that would still place a student in the top 15% of UGPAs is (Round to two decimal places as needed.). on the low end and on the high end. (b) The middle 50% of UGPAs lies between (Round to two decimal places as needed.) hp WE H 3.42 G=0.17 2.84 3.42 Grade point average Time Remaining: 00:34:06 Submit test Q Q
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 5% of UGPAS? (b) Between what two values does the middle 50% of the UGPAs lie? (a) The minimum UGPA that would still place a student in the top 5% of UGPAS is (Round to two decimal places as needed.) H=3.30 a=0.18 3.30 Grade point average O Q
(d)

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