STA1010
University of South Africa
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STA1010 ASSIGNMENT 2 2023
- Exam (elaborations) • 11 pages • 2023
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STA1010 ASSIGNMENT 2
- Exam (elaborations) • 11 pages • 2023
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STA1010 ASSIGNMENT 2 2023
- Exam (elaborations) • 9 pages • 2023
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STA1010 Statistical Methods for Science
ASSIGNMENT 2
Question 1
a) Since x is a random variable (the number of alpha particles that hit a detector over a
week) and t = no. of weeks, indicating it is modelling the number of events in a time
period – it is, therefore, a Poisson distribution.
Hence, the assumption made is that X ~ Poisson, x̄= 3
P(X=x) = e-3 * 3x
/ x!, x = 0,1, 2, 3…
b) The mean of X is = E(X) = 3
The variance of X is = Var(X) = 3
The standard deviation of X ...
Exam (elaborations)
STA1010 ASSIGNMENT 2 2023
Last document update:
ago
STA1010 Statistical Methods for Science ASSIGNMENT 2 Question 1 a) Since x is a random variable (the number of alpha particles that hit a detector over a week) and t = no. of weeks, indicating it is modelling the number of events in a time period – it is, therefore, a Poisson distribution. Hence, the assumption made is that X ~ Poisson, x̄= 3 P(X=x) = e-3 * 3x / x!, x = 0,1, 2, 3… b) The mean of X is = E(X) = 3 The variance of X is = Var(X) = 3 The standard deviation of X ...
R50,80
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