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

2022
Views:

291

Pages:

3
Author:

Alma Stephenson

- -~ Matli 131 Second E.xam -5-201 <1 :'l!amc Student number Serial number Scctio11: ============================================================== Ide ntify the choice t h at b est completes t h e statem e n t x 01· 0 a ns we rs t he question 1 2 3 l. Random variable X has t he following distribution ~P=(_..,.,\,.,..)-t-c-+"""....,d-1-l..,...l-r---,d,--1 I f E(X) = ~- then c A) ~ 2 = B) ¥ E) 0 2. Let X,..., N(30, 25). Then P(27 < X < 38) = < 3.2) jD((0.6 < z < 2.8) A ) P( l < Z \9)(-0.6 < z < 1.6) D)P(0.2 < Z < 2.4) E)P(22 < Z < 25) 3. \\'hich of t he following is (or arc) not a probability function of a random variable X (I)I Prx) 1 0~2 I 0~31 0~31 ~~ 1 v ,\) (I) only B) (I) ancl (II) (ll} I PtY) I 0~2 I 0~3 I 0~3 I -ci.2 I C) (I) and (TlI ) (II I} D) (HI) only I Pfx) I o\ I 0~3 I 0~3 I 0'~3 I @(II) and (III) 'I. Suppose that 103 of the students in University of Jordan own cars. In a random sample of 20 students, ~y = numbct of students who own ca rs. then tbc distribution of X is ~inomia/(20. 0.1) B)Binomiu/(30. 0.2) 5. Let X,..., Geometric(0.2). t hen p(X A) 0.17 B) 0.21 6. If X ,..., Poisson(3) find P(X A) 0.433 ~ B) 0.735 C)Binomial(30. 0.1) D)Binomia/(20, 0.15) = 3IX > 2) = ~,.16 D) 0.24 E) 0.09 4) C) 0.1'13 1 D) 0.567 @ .353 E)Poisson(20) 7. A box eontains 2 white balls. 3 black ball and 3 red balls. If we draw l balls without rcplaccmcnt. then the probability of getting 1 red ball is ~ )( ; ) (~ ) C) (~)(~) ( ~ ) D) (;)(~) ( ~ ) v 8. If Cou(X, Y) = l , \lcu·(X) = 9, \lar(Y) = 11. t hen Con·( l~~y - 1) = A) -4 B) 4 C) - ~ 9. Consider the following bivariate probability density A) 0.5 C) 0..J E) -~ x ... }I' l 2 0 1 0.2 0.1 0.3 0.2 3 0.1 0.1 D) 0.7 find P(X + Y < 3) E) 0.3 10.~ Poi8.~011( I) and Y ....., Binomial(lO. 0.4). If X a nd V arc independent then E (XY) = ~ B) 8 C) 12 D) I E) 5 For questions (11)- (12). Let X and Y be raudom variables s uch that Cau(X. Y) E(V) = 3. E(Y 2 - 1) = 36, 11. E(X) = A) 1 12. \lar(Y) A) 36 8)2 C)5 E) 3 = B) 21 D) 23 2 E) 33 16. E(XY) = 20, 13. If X is distributed as Bi110 ial 40. 0.2). UsP nornrnl approximation to find P (lO < X ~ 12) A) 0.193 ) 0.1236 C) 0.2 71 14. Suppose' X is 11or111ally distributed with mean 11 of t he distrilmlio11 of X A) 56.110 B) 57.68 15. Let X have a poisson distribution such that A) c 1/ 2 B) e- 1/ 3 D) 0.4024 = 50 a nd standard deviation a E) 0.011 = 3, t hen t he !JOLI• percentile C) 5<1.01 >-'1,--....._.LJ - E) 55.12 ·IP(X = 1). then P(X D) c-1 's = 0) = E) c - 1 16. In a compa11y 30% of the papers arc from supplier I and the rest arc from supplier II. 65% of the papers supplied by I arc white and 103 of the papers supplied by II arc white. If we choose a paper nimlu111ly fru111 this co1 ~ n the probability that it is white will be A) 0.309 B) 0.475 C) 0. 160 3 D) 0.361 E) 0.610

Math Second Exam 2020

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