Exercises 1-26 involve probabilities with independent events. Use the spinner shown to solve Exercises 1-10. It is equally probable that the pointer will land on any one of the six regions. If the pointer lands on a borderline, spin again. If the pointer is spun twice, find the probability it will land on If the pointer is spun three times, find the probability it will land on red and then red and then green.
Exercises 1-26 involve probabilities with independent events. Use the spinner shown to solve Exercises 1-10. It is equally probable that the pointer will land on any one of the six regions. If the pointer lands on a borderline, spin again. If the pointer is spun twice, find the probability it will land on If the pointer is spun three times, find the probability it will land on red and then red and then green.
Solution Summary: The author calculates the probability of occurring a red, red and green in the three consecutive plays of spinning wheel.
Exercises 1-26 involve probabilities with independent events.
Use the spinner shown to solve Exercises 1-10. It is equally probable that the pointer will land on any one of the six regions. If the pointer lands on a borderline, spin again. If the pointer is spun twice, find the probability it will land on
If the pointer is spun three times, find the probability it will land on
RK
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Match the surfaces (a) - (f) below with the contour diagrams (1) - (6) below those.
(a) Surface (a) matches contour 5 V
V
(b) Surface (b) matches contour 2 V
(c) Surface (c) matches contour 1
(d) Surface (d) matches contour 6 V
(e) Surface (e) matches contour 4 V
(f) Surface (f) matches contour 3 V
(4)
(1)
-0.25
(a)
(b)
(c)
(d)
(e)
y
y
2.5
0.5
1.5
1.5
1.5
y
.3
0.25
OC
0.25
-0.25
(2)
X
1.5
ZI
(f)
y
0.01
0.01
(3)
☑
X
0.01
0.01
0.2
0.2
(5)
0 x
0.5
(6)
0.25
X
X
0.25
0.5
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At least one of the answers above is NOT correct.
The figure shows a hill with two paths, A and B.
(a) What is the elevation change along each path? 400
9400
✓ feet
(b) Which path ascends more rapidly? A v
(c) On which path will you probably have a better view of the surrounding
countryside (assuming that trees do not block your view)? A V
(d) Along which path is there more likely to be a stream?
A V
Note: You can earn 50% partial credit for 2-3 correct answers.
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9800'
A
10000
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B
0
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4)
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
Chapter 11 Solutions
MyLab Math with Pearson eText -- Access Card -- for Thinking Mathematically
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Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License