Assignment 1 solution unstarred

Assignment 1 solution unstarred - # of students spent less...

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THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT0301 Elementary Statistical Methods Semester 1 2009/2010 Assignment 1 solution ( questions that no need to hand in)
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7. Let A and B the principal amounts for fund A and fund B respectively, i.e. A = $2.5 m , B = $1.2 m and n = 7 Let X A and X B be the final values for fund A and fund B respectively. X A = 2.5 ( 1 + 0.105 )( 1 + 0.20 )( 1 + 0.078 )( 1 0.03 )( 1 + 0.082 )( 1 + 0.012 )( 1 0.041 ) = 3.63999183 X B = 1.2 ( 1 + 0.184 )( 1 + 0.135 )( 1 0.104 )( 1 0.058 )( 1 0.192 )( 1 + 0.037 )( 1 + 0.09 ) = 1.243095051 Let r be the average annual growth rate, then we have (A+B) )( 1 + r ) 7 =X A +X B ∴( 2.5 + 1.2 )( 1 + r ) 7 = 3.63999183 + 1.243095051 r = 4.043% 8. Please see Tutorial solutions for question #8.
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12. (a) Mean = 4E(X) – 13 = 207 Median = Median (U) = 4Med(X) – 13 = 215 Mode = Mod(U) = 4Mode(U) – 13 = 219 Variance = 16Var(X) = 784 Stdev = Variance 0.5 = 28
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13. (a) total # of students = 120/(0.19+0.11)=400
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Unformatted text preview: # of students spent less than 10h = 400 (0.13) = 52 (b) Class Boundaries Class Mark Relative Frequency 0 -- 10 5 0.13 10 – 20 15 0.25 20 – 30 25 0.32 30 – 40 35 0.19 40 – 50 45 0.11 Mean = 24 Standard deviation = 11.7898 Variance = 139 Median ( ) m m m m f f f f N C L 1 2 1 2 − + + + − × + = L ( ) 75 . 23 32 . 25 . 13 . 5 . 10 20 = + − × + = Mode ( ) 1 1 1 2 + − − − − − × + = M M M M M M M f f f f f C L ( ) 5 . 23 19 . 25 . 32 . 2 25 . 32 . 10 20 = − − × − × + = (c ) Coefficient of variation % 124 . 49 24 11.7898 = = = μ σ Skewness ( ) ( ) % 36 . 6 7898 . 11 75 . 23 24 3 3 = − = − = Med 14. Jan Feb Mar X i 183 ‐ 40 =143 183+40=223 151 ‐ 30=121 151+30=181 133 ‐ 20=113 133+20=153 Freq 15.5 15.5 14 14 15.5 15.5 Mean = 155.8222 Standard deviation = 37.55...
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This note was uploaded on 04/14/2010 for the course STAT 0301 taught by Professor Gabriell during the Spring '09 term at HKU.

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Assignment 1 solution unstarred - # of students spent less...

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