THE TABLE SHOULD BE REPLACED 19. The time, to the nearest whole minute, that a c
ID: 3043655 • Letter: T
Question
THE TABLE SHOULD BE REPLACED
19. The time, to the nearest whole minute, that a city bus takes to go from one end of its route to the other has the probability distribution shown. As sometimes happens with probabilities computed as empirical relative frequencies, probabilities in the table add up only to a value other than 1.00 because of round-off error. 42 43 44 45 46 47 P(z) 0.10 0.23 0.34 0.25 0.05 0.02 a. Find the average time the bus takes to drive the length of its route. b. Find the standard deviation of the length of time the bus takes to drive the length of its route.Explanation / Answer
19)
a) from above average time =37.51 minute
b) std deviation =1.17 minute
x p(x) xP(x) x2P(x) (x-)2 (x-)2P(x) 36 0.120 4.320 155.520 2.280 0.274 37 0.230 8.510 314.870 0.260 0.060 38 0.360 13.680 519.840 0.240 0.086 39 0.210 8.190 319.410 2.220 0.466 40 0.060 2.400 96.000 6.200 0.372 41 0.010 0.410 16.810 12.180 0.122 total 0.99 = 37.51 1422.450 23.381 2= 1.3799 std deviation= = 2 = 1.1747Related Questions
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