In Problems 23-42, use the table below. Events A, B, and Care mutually exclusive; so are D, E, and F. D E F Totals A .20 .28 .22 .70 B .03 .05 .02 .10 C .07 .07 .06 .20 Totals .30 .40 .30 1.00
In Problems 23-42, use the table below. Events A, B, and Care mutually exclusive; so are D, E, and F. D E F Totals A .20 .28 .22 .70 B .03 .05 .02 .10 C .07 .07 .06 .20 Totals .30 .40 .30 1.00
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please help with #28. I have attached the table values

Transcribed Image Text:5
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15. The sum is less than 6, given that the sum is even.
16. The sum is 10, given that the roll is doubles.
17. The sum is even, given that the sum is less than 6.
18. The roll is doubles, given that the sum is 10.
19. The sum is greater than 7, given that neither die is a six.
20. The sum is odd, given that at least one die is a six.
21. Neither die is a six, given that the sum is greater than 7.
22. At least one die is a six, given that the sum is odd.
In Problems 23-42, use the table below. Events A, B, and Care
mutually exclusive; so are D, E, and F.
D
E
F
Totals
tv
A
.20
.28
.22
.70
B
.03
.05
.02
.10
MacBook Pro
C
.07
.07
.06
.20
Totals
.30
.40
.30
1.00
ST

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Problems 7-14,
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In Problems 23-26, find each probability directly from the table.
23. P(B)
24. P(E)
25. P(BND)
26. P(CNE)
In Problems 27-34, compute each probability using formula (1)
on page 423 and appropriate table values.
27. P(D|B)
29. P(B|D)
31. P(D|C)
33. P(A/C)
QAA
37. B and D
39. B and F
28. P(CE)
30. P(E|C)
32. P(EA).
34. P(B|B)*
In Problems 35-42, test each pair of events for independence.
35. A and D
36. A and E
38. B and E
40. C and F
42. D and F
nes.
41. A and B
43. A fair coin is tossed 8
(A) What is the probability of tossing a head on the 8th toss,
given that the preceding 7 tosses were heads?
(B) What is the probability of getting 8 heads or 8 tails?
44. A fair die is rolled 5 times.
(A) What is the probability of getting a 6 on the 5th roll,
given that a 6 turned up on the preceding 4 rolls?
(B) What is the probability that the same number turns up
every time?
45. A pointer is spun once on the circular spinner shown below.
The probability assigned to the pointer landing on a given
integer (from 1 to 5) is the ratio of the area of the correspond.
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