Math First Exam 2020

University:
Kentucky State University
Course:
MAT 120 | Precalculus
Academic year:

2024
Views:

110

Pages:

6
Author:

5prinzg1s

UNIVERSITY OF JORDAN l\1ATH 131 DATE: 30/4/2012 DEPT OF MATH FIRST EXAM TIME 60 MIN Student I\ame:___ _ _ _ Student Number_ __ Instructor J"iame: Section Number: _ __ Fill in the rectangular box with the correct final answer. Show your work. Answers without solution details are not accepted. Ql) The following table gives the joint pdf of a bivariate random vector (X,Y) . 'i' -1 1.. "' -1 -2 .1.. 37 37 0 1.. 1.. 37 l. 37 0 1 1. .!. 1. 0 .\7 37 .\7 37 0 1.. 1.. .\7 37 ---2o !<'Ind P( Y > -1 I X < 1 ) -==-o - +~I 42.1- Q2) Let (X,Y) be bivariate random variable such that Corr( X, Y ) 0.4, Var( X) 5, Var( Y) 6, E( X) E( Y) 2 = Find a) Cov(X,Y) -=. ( = = 13) when X : P(8.) J_p(t~I~) }-- f(J) QS) Find 10th percentile oft-distribution with 4 degrees of freedom ~o . \ I y ::;( ,o I 5,,c;- .- \, g-5] Q6) 7 Exilm 11 131 30-4-2012.nb Find a) Var( X) when X: 8 ( 9, 0.5 ). - 1. \ b) E( X 2 ) when X: P( 8.). (-tg L ::. Q7) Let X : P( 17 ). Calculate P( X f( =29 ) using normal approximation ;ig ,,- < 1.< 2'/, l) <;. Q8) Find the size of a sample that can be used to estimateµ of normal distribution within 1.5 units from the true mean with 90"/o confidence level provided that 70 with critical region of the form C Find ={Xi,... ,X 0 : X> k }. a) The level of significance (Probability of type I error) if k o( .., r( '.l 7 C/2- 'L) , ,_ p( 6 :> =72.2 "'I'-~~ 1-!!. ) ·::;_ \-- f ( ~ s 1,tf)~· ~ , _ 0, Consider the following information about 4 independent distributions and the samples drawn from each of them. Distribution number 1 2 3 4 N(µ l,a- 12 ) N(µ 2,a-22 ) 70 16 75 7 6 4 B(nl ,pl ) 1 ( 0.1 100 Based on this information find the 90th percentile of: c. - - o,E to\o (J+ _ o , '111 ~ - ( r C '16'9 "~. o nt' QIO) Distribution name 1st parameter 2nd parameter Sample size _ B(n2,p2) 1 0.9 49 7 l 't] J ) Exam 11131 h) Is sf '-~.'\gG p( 51 c).::.i.. s~ ).tI ~~ > ~cJ 1i --

Math First Exam 2020

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