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Zipf’s law /ˈzɪf/, an empirical law formulated using mathematical statistics, refers to the fact that many types of data studied in the physical and social sciences can be approximated with [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) (a) (b) (iii) Since the product moment correlation coefficient [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Let number of calls in a period of 4minutes. (ii) Let length of time [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Required Probability (ii) Required Probability (iii) Case 1: The [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. Unbiased estimate of population mean Unbiased estimate of population [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) In order to use stratified sampling, we need to know the sampling [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) For to exist must be one-one, thus least value of (iii) (iv) [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) (iii) Let number of peak rate calls over the two three-month periods.

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) For the curve to have a turning point, (ii) (a) When (b) (iii)

Consider if we are simply given that latex \mathrm{P}(X < 4.2) = 0.2latex \mathrm{P}(X > 8) = 0.1latex \alpha \mathrm{P}(X < \mu_0 – \alpha) = \mathrm{P}(X < \mu_0 + [...]