don't know why it follows the binomial distribution.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I don't know why it follows the binomial distribution.

(6.25). Suppose that 106 people arrive at a service station at times that
are independent random variables, each of which is uniformly
distributed over (0, 106). Let N denote the number that arrive in the
first hour. Find an approximation for P{N = i}.
N~ Bin (10⁰, 100)
Since n is large enough. p is small and up is moderadle,
N~ Pois (A) with parameter X = np = 10² x 100 = 1
<₁ P (N=₂) =
e'll}
ż!
et
y!
Transcribed Image Text:(6.25). Suppose that 106 people arrive at a service station at times that are independent random variables, each of which is uniformly distributed over (0, 106). Let N denote the number that arrive in the first hour. Find an approximation for P{N = i}. N~ Bin (10⁰, 100) Since n is large enough. p is small and up is moderadle, N~ Pois (A) with parameter X = np = 10² x 100 = 1 <₁ P (N=₂) = e'll} ż! et y!
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