Exercise 23. You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area. Figure 3.16 Let B = the event of landing on blue. Let R= the event of landing on red. Let G = the event of landing on green. Let Y = the event of landing on yellow. If you land on red, you don't get a prize. What is P(R)?

MATLAB: An Introduction with Applications
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Exercise 23.
Solution
You see a game at a local fair. You have to throw a dart at a color wheel. Each
section on the color wheel is equal in area.
Figure 3.16
Let B = the event of landing on blue.
Let R = the event of landing on red.
Let G = the event of landing on green.
Let Y= the event of landing on yellow.
If you land on red, you don't get a prize. What is P(R)?
Transcribed Image Text:Exercise 23. Solution You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area. Figure 3.16 Let B = the event of landing on blue. Let R = the event of landing on red. Let G = the event of landing on green. Let Y= the event of landing on yellow. If you land on red, you don't get a prize. What is P(R)?
Exercise 58.
Solution
Exercise 91.
Solution
Paragraph
F
Styles
The probability that a man develops some form of cancer in his lifetime is
0.4567. The probability that a man has at least one false positive test result
(meaning the test comes back for cancer when the man does not have it) is 0.51.
Let: C = a man develops cancer in his lifetime; P = man has at least one false
positive. Construct a tree diagram of the situation.
Suppose that you have eight cards. Five are green and three are yellow. The
five green cards are numbered 1, 2, 3, 4, and 5. The three yellow cards are
numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one
card.
. G = card drawn is green
• E = card drawn is even-numbered
a. List the sample space.
b. P(G)=_
c. P(GE) =
d. P(G AND E) =_
e. P(G OR E) =_
f. Are G and E mutually exclusive? Justify your answer numerically.
Focus
Transcribed Image Text:Exercise 58. Solution Exercise 91. Solution Paragraph F Styles The probability that a man develops some form of cancer in his lifetime is 0.4567. The probability that a man has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is 0.51. Let: C = a man develops cancer in his lifetime; P = man has at least one false positive. Construct a tree diagram of the situation. Suppose that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4, and 5. The three yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card. . G = card drawn is green • E = card drawn is even-numbered a. List the sample space. b. P(G)=_ c. P(GE) = d. P(G AND E) =_ e. P(G OR E) =_ f. Are G and E mutually exclusive? Justify your answer numerically. Focus
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