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categoryإحصاء
schoolبكالوريوس
event_available2026-07-14
السؤال
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10.
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My Notes Ask Your Teacher
The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of teachers absent on any given day has a
Poisson distribution with parameter μ. Use the accompanying data on absences for 50 days to obtain a 95% large-sample CI for μ.
Number of
absences
0 1 2 3 4 5 6 7 8 9 10
Frequency 2 3 7 10 8 7 5 5 1 1 1
[Hint: The mean and variance of a Poisson variable both equal μ, so
Z =
X-μ
Vuln
- a) and
has approximately a standard normal distribution. Now proceed as in the derivation of the interval for p by making a probability statement (with probability 1 -
solving the resulting inequalities for u.] (Round your answers to two decimal places.)
4.04
X.4.20
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