Complete the given relative frequency distribution and compute the stated relative frequencies. Outcome 12 3 Rel. Frequency (a) P({1, 3, 5}) (b) P(E') where E = {1, 2, 3} 4 5 0.1 0.2 0.1 0.1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Complete the given relative frequency distribution and compute the stated relative frequencies.
(a) P({1, 3, 5})
Step 1
Outcome 1
Rel. Frequency 0.1 0.2
(b) P(E) where E = {1, 2, 3}
(a) P({1, 3, 5})
2
Outcome 1
0.1
2
4
We are given the incomplete relative frequency distribution.
3
0.1
5
4 5
Rel. Frequency 0.1 0.2 0.1 0.1
The missing table value is the relative frequency value corresponding to the outcome 0.5 X
5
Transcribed Image Text:Complete the given relative frequency distribution and compute the stated relative frequencies. (a) P({1, 3, 5}) Step 1 Outcome 1 Rel. Frequency 0.1 0.2 (b) P(E) where E = {1, 2, 3} (a) P({1, 3, 5}) 2 Outcome 1 0.1 2 4 We are given the incomplete relative frequency distribution. 3 0.1 5 4 5 Rel. Frequency 0.1 0.2 0.1 0.1 The missing table value is the relative frequency value corresponding to the outcome 0.5 X 5
For the incomplete relative frequency distribution, replace the missing relative frequency corresponding to the outcome 5 with an x.
Outcome
1
Rel. Frequency 0.1 0.2
2
P(1) + P(2) + P(3) + P(4) + P(5) = 1
0.1 +
+ 0.1 +0.1 + x = 1
X =
3
0.1
4 5
In order to complete the relative frequency distribution, we need to solve for the unknown x. Recall the property of relative frequency distributions that for a sample space
+ P(Sn) =
= 1. In other words, the relative frequencies across the whole sample space sum to 1. Use this fact to write an equation for x and
‚ s}, we have P(S₁) + P(S₂) +
S = {S₁, S₂,
1'
solve it.
0.1 X
Transcribed Image Text:For the incomplete relative frequency distribution, replace the missing relative frequency corresponding to the outcome 5 with an x. Outcome 1 Rel. Frequency 0.1 0.2 2 P(1) + P(2) + P(3) + P(4) + P(5) = 1 0.1 + + 0.1 +0.1 + x = 1 X = 3 0.1 4 5 In order to complete the relative frequency distribution, we need to solve for the unknown x. Recall the property of relative frequency distributions that for a sample space + P(Sn) = = 1. In other words, the relative frequencies across the whole sample space sum to 1. Use this fact to write an equation for x and ‚ s}, we have P(S₁) + P(S₂) + S = {S₁, S₂, 1' solve it. 0.1 X
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