(25 +5 points) Show all work on problems! (5) 1. One of the numbers from the fol
ID: 3068439 • Letter: #
Question
(25 +5 points) Show all work on problems! (5) 1. One of the numbers from the following table is selected at random: 00 01 06 10 11 .. 16 o 6166 Find the probabilities of the following events: a) The first digit is 5. b) The two digits are equal. c) The two digits are unequal. d) The second digit is larger than the first. e) The second digit is at least as large as the first. f) The second digit is 5. g) The sum of the two digits is 5. h) The sum of the two digits is 9 i) Neither digit exceeds 4. j) Both digits exceed 4. k) Only one of the digits exceeds 4. l) The first digit exceeds 4 and the second does not.Explanation / Answer
(a) 1/7
(REASON: Number of favorable events = 1. Number of possible vents = 7)
(b) 7/49 = 1/7
(REASON: Favorable: 00,11,22,33,44,55,66. Possible: First: 0 to 6 X Second 0 to 6)
(c) 1 - 1/7 = 6/7
(d) 21/49 = 3/7
(REASON: Favorable:01,02,,06 : 6 Nos
12,...16: 5 Nos
..
56: 1 No.)
(e) 28/49 = 4/7
(REASON:Favorable: 00,01,...06: 7 Nos
11,....16 : 6 Nos.
..
66: 1 No,)
(f)
1/7
(REASON: Same as (a)
(g)
6/49
(REASON: Favorable: 05, 14, 23, 32, 41, 50)
(h)
4/49
(REASON: Favorable: 36, 45, 54, 63)
(i)
16/49
(REASON:
Favorable:
00, 01, 02, 03 : 4 Nos.
..
30, 31, 32, 33: 4 Nos
(j)
4/49
(REASON: Favorable: 55, 56, 65, 66)
(k)
31/49
(RESON:
Favorable:
50, 51, ..,56 : 7 Nos.
60, 61,... 66 : 7 Nos
05, 06 : 2 Nos
15, 16 : 2 Nos.
25, 26: 2 Nos.
35, 36: 2 Nos.
45, 46 : 2 Nos.
(l)
14/49 = 2/7
(REASON:
Favorable:
50, 51,..., 56: 7 Nos
60, 61,..66 : 7 Nos.)
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