MML F/COLLEGE MAT F/TRADES - ACCESS CODE
10th Edition
ISBN: 9781323845967
Author: Hobbs
Publisher: PEARSON
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Chapter 20.4, Problem 17E
To determine
The unknown parts of the oblique triangle in which
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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]
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
5'
3
P(Y = 0)
P(Y = 1)
10
1
10
7
1
P(Y2) =
P(Y = 3)
,
P(Y = 4)
10
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 20 Solutions
MML F/COLLEGE MAT F/TRADES - ACCESS CODE
Ch. 20.1 - Prob. 1LCCh. 20.1 - Prob. 1ECh. 20.1 - Prob. 2ECh. 20.1 - Prob. 3ECh. 20.1 - Prob. 4ECh. 20.1 - Prob. 5ECh. 20.1 - Prob. 6ECh. 20.1 - Prob. 7ECh. 20.1 - Prob. 8ECh. 20.1 - Prob. 9E
Ch. 20.1 - Prob. 10ECh. 20.1 - Prob. 11ECh. 20.1 - Prob. 12ECh. 20.1 - Prob. 13ECh. 20.1 - Prob. 14ECh. 20.1 - Prob. 15ECh. 20.1 - Prob. 16ECh. 20.1 - Prob. 17ECh. 20.1 - Prob. 18ECh. 20.1 - Prob. 19ECh. 20.1 - Prob. 20ECh. 20.1 - Prob. 21ECh. 20.1 - Prob. 22ECh. 20.1 - Prob. 23ECh. 20.1 - Prob. 24ECh. 20.1 - Prob. 25ECh. 20.1 - Prob. 26ECh. 20.1 - Prob. 27ECh. 20.1 - Prob. 28ECh. 20.1 - Prob. 29ECh. 20.1 - Prob. 30ECh. 20.1 - Prob. 31ECh. 20.1 - Prob. 32ECh. 20.2 - Prob. 1LCCh. 20.2 - Prob. 2LCCh. 20.2 - Prob. 1ECh. 20.2 - Prob. 2ECh. 20.2 - Prob. 3ECh. 20.2 - Prob. 4ECh. 20.2 - Prob. 5ECh. 20.2 - Prob. 6ECh. 20.2 - Prob. 7ECh. 20.2 - Prob. 8ECh. 20.2 - Prob. 9ECh. 20.2 - Prob. 10ECh. 20.2 - Prob. 11ECh. 20.2 - Prob. 12ECh. 20.2 - Prob. 13ECh. 20.2 - Prob. 14ECh. 20.2 - Prob. 15ECh. 20.2 - Prob. 16ECh. 20.2 - Prob. 17ECh. 20.2 - Prob. 18ECh. 20.2 - Prob. 19ECh. 20.2 - Prob. 20ECh. 20.2 - Prob. 21ECh. 20.2 - Prob. 22ECh. 20.2 - Prob. 23ECh. 20.2 - Prob. 24ECh. 20.2 - Prob. 25ECh. 20.3 - Prob. 1LCCh. 20.3 - Prob. 2LCCh. 20.3 - Evaluate.
Ch. 20.3 - Prob. 4LCCh. 20.3 - Prob. 1ECh. 20.3 - Prob. 2ECh. 20.3 - Prob. 3ECh. 20.3 - Prob. 4ECh. 20.3 - Prob. 5ECh. 20.3 - Prob. 6ECh. 20.3 - Prob. 7ECh. 20.3 - Prob. 8ECh. 20.3 - Prob. 9ECh. 20.3 - Prob. 10ECh. 20.3 - Prob. 11ECh. 20.3 - Prob. 12ECh. 20.3 - Prob. 13ECh. 20.3 - Prob. 14ECh. 20.3 - Prob. 15ECh. 20.3 - Prob. 16ECh. 20.3 - Prob. 17ECh. 20.3 - Prob. 18ECh. 20.3 - Prob. 19ECh. 20.3 - Prob. 20ECh. 20.3 - Prob. 21ECh. 20.3 - Prob. 22ECh. 20.3 - Prob. 23ECh. 20.3 - Prob. 24ECh. 20.3 - Prob. 25ECh. 20.3 - Prob. 26ECh. 20.3 - Prob. 27ECh. 20.3 - Prob. 28ECh. 20.3 - Prob. 29ECh. 20.3 - Prob. 30ECh. 20.3 - Prob. 31ECh. 20.3 - Prob. 32ECh. 20.3 - Prob. 33ECh. 20.3 - Prob. 34ECh. 20.3 - Prob. 35ECh. 20.3 - Prob. 36ECh. 20.3 - Prob. 37ECh. 20.3 - Prob. 38ECh. 20.3 - Prob. 39ECh. 20.3 - Prob. 40ECh. 20.3 - Prob. 41ECh. 20.3 - Prob. 42ECh. 20.3 - Prob. 43ECh. 20.3 - Prob. 44ECh. 20.3 - Prob. 45ECh. 20.3 - Prob. 46ECh. 20.3 - Prob. 47ECh. 20.4 - Evaluate to four significant digits.
Ch. 20.4 - Prob. 1ECh. 20.4 - Prob. 2ECh. 20.4 - Prob. 3ECh. 20.4 - Prob. 4ECh. 20.4 - Prob. 5ECh. 20.4 - Prob. 6ECh. 20.4 - Prob. 7ECh. 20.4 - Prob. 8ECh. 20.4 - Prob. 9ECh. 20.4 - Prob. 10ECh. 20.4 - Prob. 11ECh. 20.4 - Prob. 12ECh. 20.4 - Prob. 13ECh. 20.4 - Prob. 14ECh. 20.4 - Prob. 15ECh. 20.4 - Prob. 16ECh. 20.4 - Prob. 17ECh. 20.4 - Prob. 18ECh. 20.4 - Prob. 19ECh. 20.4 - Prob. 20ECh. 20.4 - Prob. 21ECh. 20.4 - Prob. 22ECh. 20.5 - Prob. 1LCCh. 20.5 - Prob. 1ECh. 20.5 - Prob. 2ECh. 20.5 - Prob. 3ECh. 20.5 - Prob. 4ECh. 20.5 - Prob. 5ECh. 20.5 - Find the three angles of each triangle. Round...Ch. 20.5 - Prob. 7ECh. 20.5 - Prob. 8ECh. 20.5 - Prob. 9ECh. 20.5 - Prob. 10ECh. 20.5 - CON A hill is inclined 20° to the horizontal. A...Ch. 20.5 - Prob. 12ECh. 20 - Prob. 1RECh. 20 - Prob. 2RECh. 20 - Prob. 3RECh. 20 - Prob. 4RECh. 20 - Prob. 5RECh. 20 - Prob. 6RECh. 20 - Prob. 7RECh. 20 - Prob. 8RECh. 20 - Prob. 9RECh. 20 - Prob. 10RECh. 20 - Prob. 11RECh. 20 - Prob. 12RECh. 20 - Prob. 13RECh. 20 - Prob. 14RECh. 20 - Prob. 15RECh. 20 - Prob. 16RECh. 20 - Prob. 17RECh. 20 - Prob. 18RECh. 20 - Prob. 19RECh. 20 - Prob. 20RECh. 20 - Prob. 21RECh. 20 - Prob. 22RECh. 20 - Prob. 23RECh. 20 - Prob. 24RECh. 20 - Prob. 25RECh. 20 - Prob. 26RECh. 20 - Prob. 27RECh. 20 - Prob. 28RECh. 20 - Prob. 29RECh. 20 - Prob. 30RECh. 20 - Prob. 31RECh. 20 - Prob. 32RECh. 20 - Prob. 33RECh. 20 - Prob. 34RECh. 20 - Prob. 35RECh. 20 - Prob. 36RECh. 20 - Prob. 37RECh. 20 - Prob. 38RECh. 20 - Prob. 39RECh. 20 - Prob. 40RECh. 20 - Solve the triangles. If a triangle has two...Ch. 20 - Prob. 42RECh. 20 - Prob. 43RECh. 20 - Prob. 44RECh. 20 - Prob. 45RECh. 20 - Prob. 46RECh. 20 - Prob. 47RECh. 20 - Prob. 48RECh. 20 - Solve the exercises. Round sides to four...Ch. 20 - Prob. 50RECh. 20 - Prob. 51RECh. 20 - Prob. 1CACh. 20 - Prob. 2CACh. 20 - Prob. 3CACh. 20 - Prob. 4CACh. 20 - Prob. 5CACh. 20 - Prob. 6CACh. 20 - Prob. 7CACh. 20 - Prob. 8CACh. 20 - Prob. 9CACh. 20 - Prob. 10CACh. 20 - Prob. 11CACh. 20 - Prob. 12CACh. 20 - Prob. 13CACh. 20 - Prob. 14CACh. 20 - Prob. 15CACh. 20 - Prob. 16CACh. 20 - Prob. 1PTCh. 20 - Prob. 2PTCh. 20 - Prob. 3PTCh. 20 - Prob. 4PTCh. 20 - Prob. 5PTCh. 20 - Prob. 6PTCh. 20 - Prob. 7PTCh. 20 - Prob. 8PTCh. 20 - Prob. 9PTCh. 20 - Prob. 10PTCh. 20 - Prob. 11PTCh. 20 - Prob. 12PTCh. 20 - Prob. 13PTCh. 20 - Prob. 14PTCh. 20 - Prob. 15PTCh. 20 - Prob. 16PTCh. 20 - Prob. 17PTCh. 20 - Prob. 18PTCh. 20 - Prob. 19PTCh. 20 - Prob. 20PTCh. 20 - Prob. 21PTCh. 20 - A rod 11 cm long joins a crank 20 cm long to form...Ch. 20 - Prob. 23PTCh. 20 - Prob. 24PTCh. 20 - Prob. 1CPTCh. 20 - Prob. 2CPTCh. 20 - Prob. 3CPTCh. 20 - Prob. 4CPTCh. 20 - Prob. 5CPTCh. 20 - Prob. 6CPTCh. 20 - Prob. 7CPTCh. 20 - Prob. 8CPTCh. 20 - Prob. 9CPTCh. 20 - Prob. 10CPTCh. 20 - Prob. 11CPTCh. 20 - Prob. 12CPTCh. 20 - Prob. 13CPTCh. 20 - Find the resultant vector of the vectors that have...Ch. 20 - Prob. 15CPTCh. 20 - Prob. 16CPTCh. 20 - Prob. 17CPTCh. 20 - Prob. 18CPTCh. 20 - Prob. 19CPTCh. 20 - Prob. 20CPT
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