This is a statistics question, unfortunately I have difficulties understanding problems with statistics and I need this question solved with full workings and also in an understandable way to revise. Your help will be highly appreciated, *I will give positive rating to the fullest*. Thank you!!
1) f(X)
X | f(X= x) |
20 | 0.2 |
40 | 0.2 |
60 | 0.3 |
80 | 0.2 |
100 | 0.1 |
1 |
Median
P(X <median) = 0.5
X | f(X= x) | cumulative probability |
20 | 0.2 | 0.2 |
40 | 0.2 | 0.4 |
60 | 0.3 | 0.7 |
80 | 0.2 | 0.9 |
100 | 0.1 | 1 |
note that
P(X< = 40) = 0.4 and P(X<= 60) = 0.7
as 0.5 is between 0.4 and 0.7
60 is median
= 56
D(X)= E(X^2) - (E(X))^2
X | f(X= x) | x*p | x^2*p |
20 | 0.2 | 4 | 80 |
40 | 0.2 | 8 | 320 |
60 | 0.3 | 18 | 1080 |
80 | 0.2 | 16 | 1280 |
100 | 0.1 | 10 | 1000 |
1 | 56 | 3760 |
E(X^2) = 3760
hence
D(X) = 3760 - 56^2
= 624
standard error = sd(X) = sqrt(D(X)) = sqrt(624) = 24.979999
he most frequently employed measure of the asymmetry of a distribution, defined by the relationship
where and are the second and third central moments of the distribution, respectively
X | f(X= x) | x*p | x^2*p | (x - mu)^3 |
20 | 0.2 | 4 | 80 | -46656 |
40 | 0.2 | 8 | 320 | -4096 |
60 | 0.3 | 18 | 1080 | 64 |
80 | 0.2 | 16 | 1280 | 13824 |
100 | 0.1 | 10 | 1000 | 85184 |
1 | 56 | 3760 | 48320 |
As(X) = 48320/(3760)^(3/2)
= 0.2095777
A scalar characteristic of the pointedness of the graph of the probability density of a unimodal distribution. It is used as a certain measure of the deviation of the distribution in question from the normal one. The excess is defined by the formula
where is the second Pearson coefficient (cf. Pearson distribution), and and are the second and fourth central moments of the probability distribution
X | f(X= x) | x*p | x^2*p | (x - mu)^3 | (x- mu)^4 |
20 | 0.2 | 4 | 80 | -46656 | 1679616 |
40 | 0.2 | 8 | 320 | -4096 | 65536 |
60 | 0.3 | 18 | 1080 | 64 | 256 |
80 | 0.2 | 16 | 1280 | 13824 | 331776 |
100 | 0.1 | 10 | 1000 | 85184 | 3748096 |
1 | 56 | 3760 | 48320 | 5825280 |
Ex(X) = 5825280/3760^2 - 3
= -2.58796
This is a statistics question, unfortunately I have difficulties understanding problems with statistics and I need...
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This is a statistics question, unfortunately I have difficulties understanding problems with statistics and I need this question solved with full workings and also in an understandable way to revise. Your help will be highly appreciated, *I will give positive rating to the fullest*. Please no computerised answers (answers calculated with softwares), as i I won't understand that. Thank you!! 1. Discrete distribution for X' is given by the following table: Probabilities p Values A 0.2 20 0.2 40 0.3...
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