Math Test 2020

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

2022
Views:

273

Pages:

2
Author:

Charlee Buchanan

-Q1) Cons ider the fo llowing bivariate distribution x-----------_:___ -I 0 2 0.1 0.2 0.1 I 0 I ~hen P(X+Y= 1) equals 0.1 ·-0.2 0.3 9 a) 0.1 b) 0.3 c) 0.5 d) 0.4 e) 0.2 The weights of a certain machine components are normally distributed with mean 8.38 gm and standard deviation 0.09 g m. Find the 97th percentile of the weights of the components. a) 8.850 I b) 8.6571 c) 8.7502 d) 8.5492 e) 8.453 1 ~§et X and Y be two indep:ndent random variab les. Suppose that Var(X) = 100, E(Y) = 10 and Y) = 160. Then E(Y ) equals 16 b) 180 c) 60 d) 120 e) 100 est consists'. of 20 "true/false" questions. To pass the test the student shoul d answer at least 12 questions correctly. If a student makes a guess for each question, find the probability that the student / w ill pass the test. f7 ( c. ~ L ·a) 0. 123 b) 0. 191 c) 0.748 d) 0.252 e) 0.868 ' J _ _ 5) A random samp le with size 9 and standard deviation S = 4 is selected from a population that is normally distributed w ith mean µ= 22. Find the pro bability that the samp le mean X is between 18.139 and 25.86 1. . "rt a) 0.80 b) 0.90 c) 0.98 d) 0.99 e) 0.96 ~ V I) ( ) : -. \ ( \' x 1-· ,.,~ \ j-:: I \;'1 '·- ) J ) /"f 1/'( 2 v{i2) The number of telephone calls received by a car service station is distributed according to a Poisson distribution with an average 16.8 calls per day (i.e. per 24-hour period).ln a randomly selected hour of a day. find the probability that the number of telephone cal ls is 2. Ji) a) 0.20813 b) 0.08516 c) 0.12166 d) 0.15208 e) 0.13383 A plastic bag contains 4 red and 2 black balls. A paper bag contains 3 red and 3 black bal ls. A fair die will be thrown. If the outcome of the thrown die is 6 then one ball is drawn from the plastic bag, while if the outcome of the thrown die is anything else then one ba ll is drawn from the paper bag. Find the probability that the drawn ball is red. a) 12/ 19 b) 7/36 c) 7/12 d) 5/12 e) 19/36 A sam2 1 with size I 00, is randomly selected from a data that is distributed according to a etfri1efric di tribution with p = 113-Find the probability that the mean of the sample is at least 3. U ) 0.5 ~5 Con~ b) 0.3 c) 0.7 e) 0.4 r the following bivariate di stribution ~-----=-I 0 - d) 0.6 ·. I I 2 0.1 0.2 0. 1 0.1 0.2 0.3 hen Cav(X, Y) equals ) 0.09 b) 0.07 c) 0.05 d) 0.08 et X and Y be two random variab les. Suppose that Var(X) = e) 0.06 100, Var(Y) = 81 and Var(X+ Y) 1 . hen 'rr(1-X,2+Y)equals a) 1/9 b) 2/9 1 c) d) - 1 e) -1 /9 _.. - (-l) L?) 11 uI -- ~ °I - 0 \j~(J..)-t \J~(\)--\- '2-CJJv(.X/'1) lo.o- + '& \ Lev l /(; l'J --+ ~ i ( ~.v l ~ / Y) -0 4 =

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