MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Please answer (a) (B) (c) AND (d)

4
The Venn diagram shows the probabilities for pupils at a school going home for lunch, bringing a
packed lunch and buying food in the canteen.
H represents the event that a student goes home for lunch
S represents the event that a student brings a packed lunch
C' represents the event that a student buys food in the school canteen
H
0.1
x
y
(c) show that z = 0.15,
0.4
2
0.25
Given that P(C¹) = 0.4 and that P(H) = ×P(S),
(b) find the value of .x,
C
x, y and z are probabilities.
(a) Explain how the diagram shows that H and S are mutually exclusive.
S
(d) determine whether or not the events Hand C are independent and justify your answer.
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Transcribed Image Text:4 The Venn diagram shows the probabilities for pupils at a school going home for lunch, bringing a packed lunch and buying food in the canteen. H represents the event that a student goes home for lunch S represents the event that a student brings a packed lunch C' represents the event that a student buys food in the school canteen H 0.1 x y (c) show that z = 0.15, 0.4 2 0.25 Given that P(C¹) = 0.4 and that P(H) = ×P(S), (b) find the value of .x, C x, y and z are probabilities. (a) Explain how the diagram shows that H and S are mutually exclusive. S (d) determine whether or not the events Hand C are independent and justify your answer.
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