A radiation detector is used to measure the danger to humans working in a particular room. For illustration, we will model X = the number of radioactive "clicks" registered in a standard time period as a Poisson with mean A. That is to say, P(X = k) = e-dAk for k = 0, 1, 2, ... k! Presume that A = 2 is "safe" but larger means (indicating higher radiation levels) are not. Suppose that one determines to declare that there is an unsafe radiation level if X > 3.

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What is the type I error probability for this approach? (PLUG-IN completely, NO need to simplify.)
A radiation detector is used to measure the danger to humans working in a particular room. For
illustration, we will model
X = the number of radioactive "clicks" registered in a standard time period
as a Poisson with mean A. That is to say,
P(X = k) =
e-dAk
for k = 0, 1, 2, ...
k!
Presume that A = 2 is "safe" but larger means (indicating higher radiation levels) are not.
Suppose that one determines to declare that there is an unsafe radiation level if X > 3.
Transcribed Image Text:A radiation detector is used to measure the danger to humans working in a particular room. For illustration, we will model X = the number of radioactive "clicks" registered in a standard time period as a Poisson with mean A. That is to say, P(X = k) = e-dAk for k = 0, 1, 2, ... k! Presume that A = 2 is "safe" but larger means (indicating higher radiation levels) are not. Suppose that one determines to declare that there is an unsafe radiation level if X > 3.
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