Fundamentals of Probability and Statistics for Engineers

Answer: the hypothesized distribution is

where parameter needs to be estimated from the data. Thus, r 1.
To proceed, we first determine appropriate intervals Ai such that ni 5for
all i; these are shown in the first column of Table 10.5. Hence, k 11.
The maximum likelihood estimate for is given by

The substitution of this value for parameter in Equation (10.11) permits us to
calculate probabilities P(Ai)pi. For example,

Table 10.4 One-minute arrivals, for Example 10.3

Vehicles per minute (No.) Number of occurrences

00

10

21

33

45

57

613

712

88

99

10 13

11 10

12 5

13 6

14 4

15 5

16 4

17 0

18 1

n 106

324 Fundamentals of Probability and Statistics for Engineers

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