Name: Math Test 2021
Brand: EduBirdie
Rating: 5.0 (6 reviews)

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

2020
Views:

202

Pages:

3
Author:

sonalhava9qv

-..... . ...... ... .. . .... ..... :~ ~l-.11 <.:.iiJ .. .......................................... :~']\ QI Q2 w a b b c d ~ d e e Q3 a b c CifJ e Q4 a b c d ~ Q5 Q6 Q7 a ~ a Q8 a ~ &.~ Q9 a b Sf> b b c c c d e d ~ e e QlO c ~ c d e d e d e b Multiple C hoice ldent[(y the choice that best completes the statement or answers the question. ~ X-Binomial(l;~), I a) 19 b) then P(X"JIX>I) equals 19 27 c) 8 27 d) 9 27 e) 27 2) The follow in .is the distribution of a bivariate random variable (X,Y). Find P(X.<:;1 and Y=2). Y j_ 1-j_ _ ~ .+.!.. J_ J " 6 l, ~ z,.. I 2 0 1/6 1/3 116 x - I I 2 a) 1/6 1/3 0 ~>, Ill 0 2 d) 2/3 e) 516 3) Lei X-Normal (20, 4·). The 95th percenti le P95 of X equals a) 13.4 b) 6.4 c) 46.4 4) Let X- Normal (20, 4 2 ), then P(X > 22) eq uals b) 0.0517 a) 0. 1915 c) 0.9483 d) 26.6 e) 4.6 d) 0.69 15 e) 0.3085 5) The fo llowin is the distribution of a random variable X. Find the expected value E(X). X -2 - 1 I 2 P(X) a a l/2 0 1/4 b) 5/8 c) 3/8 d) 4/5 c) 0 Lei X ha ve the Poi sson distribution such that P(X=O) = 2P(X= l), then P(X=O) eq uals ._ a) a) 7) e 1 2 b) e - 11 4 c) e-2 d) e- 11 3 e) e- 1 Ler X-Binomial( L00,0.2), Using the normal approximation to the binomial distribution, P(1 4 2) equals a) 5. 9 b) 4/9 c) 3/9 d) 6/9 e) 1/9 9) Let X and Y be random variables such that Var(X) ~ 2Var(Y) = 4, Cov(X.-Y) = 2. Find Corr(X,2Y). 8) 1~ b) - 1/4 c) - 1 /~ d) - 1/2 e) 1/2 I 0) Let X and Y be random variables such that Var(X) = 2Var(Y) = 4. Cov(X,-Y) = 2, then Var(2X+Y- l) equals a) 10 b) 14 c) 12 d) 18 e) 17 a) 2 Essay Let X be the mean of a random sample with size 64, selected from a p9pulation that has meanµ 1 variance Find P(X > 4) - f( '-7 =3 and ~ ~} / ~u) __ 8j &) f(?: >-s~l-f(Z~ ;t - o, 1'ffiz_ -= C/ , o~Y;f c) I-ind u such that P(a < X < 3) = 0.2. C\- l \ P( c(Slil C\-1 -::::- 0 , ] - ., o .. - s 2lfl-f 'JI l 12) The number of people entering a store is a random variable that has a Poisson distribution with mean 5 people r.cr 111.inute. Compute the following a) the probability that 5 persons enter the store in a given minute. p(x -=- ~ _::,0,\1~ b) the probabi lity that at most 10 enter the store in a period of two minutes. p( x ~ I 0) ; v 'S,)1 J 3 - e,t 5) Pu ( f O)

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