MML F/COLLEGE MAT F/TRADES - ACCESS CODE
10th Edition
ISBN: 9781323845967
Author: Hobbs
Publisher: PEARSON
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Chapter 10, Problem 52RE
To determine
The solution of the given system of equations by using the substitution method.
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3. (i) Let A, B, C, D, E be positive constants. Find the limit
n³ D
lim A(BC)³ +1 en 4+E.
n→∞
[6 Marks]
(ii) Let X be a random variable with the standard normal distribution,
i.e. X has the probability density function
Let
1
f(x)
√2π
n3x2
Xn = 100(50 +X6) en³4, n = 1, 2,...,
3+1
(a) Find the limit lim∞ Xn, verify your answer.
Y = 100(50 +X) 22.
[6 Marks]
(b) Is Xn≤Y? Verify your answer.
[6 Marks]
(c) Is EY∞o? Verify your answer.
[6 Marks]
(d) Does lim∞ EXn
(e) Find lim∞ EXn.
Elim Xn? Why?
[6 Marks]
[3 Marks]
Set up a free RStudio account at posit.cloud. At the start of your R session, you should enter the following commands.
set.seed(1)
e<-rnorm(n = 100,mean = 0,sd = 80)
x<-seq(1,100,1)
y<-10+15*x + e
Follow the examples in the Panopto Videos to use R to obtain the values requested below. (As always, if you round your answers, make sure you do so correctly and keep at least
three decimal places.)
(a) The smallest value of y =
(b) The largest value of y =
(c) The standard deviation of y =
(d) The mean of y =
(e) The median of y =
(f) The correlation between x and y =
:
(g) Using the variable e as data, the p-value for a test of Hoμ = 0 vs. HA μ0 is
2. Let (, F, P) be a probability space. Let X, Y be two independent ran-
dom variables such that
1
3
P(X = 0)
=
P(X = 1)
=
P(X = 2)
P(X = 3)
=
P(X = 4)
=
10'
10'
3
1
7
P(Y = 0)
=
P(Y = 1) =
=
P(Y = 2)
=
10'
10'
P(Y = 3)
10'
=
P(Y = 4)
=
20'
20
(i) Find the probability generation function Gx(s) and Gy(s) of X and
Y, respectively.
[12 Marks]
(ii) Using Gx(s) and Gy(s), find the mean and variance of X and Y.
[12 Marks]
(iii) Find the probability generating function Gx+y(s) of X + Y.
[8 Marks]
Chapter 10 Solutions
MML F/COLLEGE MAT F/TRADES - ACCESS CODE
Ch. 10.1 - Is the point (−1, 6) on the graph of the equation...Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Solve the systems of equations by graphing. See...Ch. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Solve the systems of equations by graphing. See...Ch. 10.1 - Prob. 9E
Ch. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Solve the systems of equations by graphing. See...Ch. 10.1 - Prob. 15ECh. 10.1 - Prob. 16ECh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 - Solve the systems of equations by graphing. See...Ch. 10.1 - Graph each system of inequalities and shade the...Ch. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Prob. 25ECh. 10.1 - Prob. 26ECh. 10.1 - Graph each system of inequalities and shade the...Ch. 10.2 - Does 5x − 2y = 8 make a true statement when x = −2...Ch. 10.2 - Prob. 2LCCh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Solve the systems of equations using the addition...Ch. 10.2 - Prob. 9ECh. 10.2 - Solve the systems of equations using the addition...Ch. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Solve the systems of equations using the addition...Ch. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Solve the systems of equations using the addition...Ch. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Solve the systems of equations using the addition...Ch. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - See Example 5.
Ch. 10.3 - Multiply
5(12 − 3y)
Ch. 10.3 - Prob. 2LCCh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Solve the systems of equations using the...Ch. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Solve the systems of equations using the...Ch. 10.3 - Prob. 17ECh. 10.3 - Solve the systems of equations using the...Ch. 10.3 - Prob. 19ECh. 10.3 - Solve the systems of equations using the...Ch. 10.3 - Prob. 21ECh. 10.4 - Is (3.7, 5.2) a solution for the equation
0.4x =...Ch. 10.4 - Solve the problems using systems of equations with...Ch. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - BUS A college bookstore received a partial...Ch. 10.4 - Prob. 6ECh. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - A consumer received two 1-yr loans totaling...Ch. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - a private airplane flew 420 mi in 3 h with the...Ch. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - a plant nursery purchased holly shrubs that cost...Ch. 10.4 - CON A mortar mix contains five times as much sand...Ch. 10 - Prob. 1RECh. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Prob. 6RECh. 10 - Prob. 7RECh. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Prob. 19RECh. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - Prob. 32RECh. 10 - Prob. 33RECh. 10 - Prob. 34RECh. 10 - Prob. 35RECh. 10 - Prob. 36RECh. 10 - Prob. 37RECh. 10 - Prob. 38RECh. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - Prob. 42RECh. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - Prob. 45RECh. 10 - Prob. 46RECh. 10 - Prob. 47RECh. 10 - Prob. 48RECh. 10 - Prob. 49RECh. 10 - Prob. 50RECh. 10 - Prob. 51RECh. 10 - Prob. 52RECh. 10 - Prob. 53RECh. 10 - Prob. 54RECh. 10 - Prob. 55RECh. 10 - Prob. 56RECh. 10 - Prob. 57RECh. 10 - Prob. 58RECh. 10 - Prob. 59RECh. 10 - Prob. 60RECh. 10 - Prob. 61RECh. 10 - Prob. 62RECh. 10 - Prob. 63RECh. 10 - Prob. 64RECh. 10 - Prob. 65RECh. 10 - Prob. 66RECh. 10 - Prob. 67RECh. 10 - Prob. 68RECh. 10 - Prob. 69RECh. 10 - Prob. 70RECh. 10 - Prob. 1CACh. 10 - Prob. 2CACh. 10 - Prob. 3CACh. 10 - Prob. 4CACh. 10 - Prob. 5CACh. 10 - Prob. 6CACh. 10 - Prob. 7CACh. 10 - Prob. 8CACh. 10 - Prob. 9CACh. 10 - Prob. 10CACh. 10 - Prob. 1PTCh. 10 - Prob. 2PTCh. 10 - Prob. 3PTCh. 10 - Prob. 4PTCh. 10 - Prob. 5PTCh. 10 - Prob. 6PTCh. 10 - Prob. 7PTCh. 10 - Prob. 8PTCh. 10 - Prob. 9PTCh. 10 - Prob. 10PTCh. 10 - Prob. 11PTCh. 10 - Prob. 12PTCh. 10 - Prob. 13PTCh. 10 - Prob. 14PTCh. 10 - Prob. 15PTCh. 10 - Prob. 16PTCh. 10 - Prob. 17PTCh. 10 - Prob. 18PTCh. 10 - Prob. 19PTCh. 10 - Prob. 20PTCh. 10 - Prob. 21PTCh. 10 - Prob. 22PTCh. 10 - Prob. 23PTCh. 10 - Prob. 24PTCh. 10 - Prob. 25PTCh. 10 - Prob. 1CPTCh. 10 - Prob. 2CPTCh. 10 - Prob. 3CPTCh. 10 - Prob. 4CPTCh. 10 - Prob. 5CPTCh. 10 - Prob. 6CPTCh. 10 - Prob. 7CPTCh. 10 - Prob. 8CPTCh. 10 - Prob. 9CPTCh. 10 - Prob. 10CPTCh. 10 - Prob. 11CPTCh. 10 - Prob. 12CPTCh. 10 - Prob. 13CPTCh. 10 - Prob. 14CPTCh. 10 - Prob. 15CPTCh. 10 - Prob. 16CPTCh. 10 - Prob. 17CPTCh. 10 - Prob. 18CPTCh. 10 - Prob. 19CPTCh. 10 - Prob. 20CPTCh. 10 - Prob. 21CPTCh. 10 - Prob. 22CPTCh. 10 - Prob. 23CPTCh. 10 - Prob. 24CPTCh. 10 - Prob. 25CPTCh. 10 - Prob. 26CPTCh. 10 - Prob. 27CPTCh. 10 - Prob. 28CPTCh. 10 - Prob. 29CPTCh. 10 - Prob. 30CPT
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