Calculate failure of component by central limit theorm
A component in a device fails one time per 24 hours (on average). How many
spare parts should be in order to verify that the probability they will be
enough for one week is 95%? Use central limit theorem and standardization.
With standard tools (a.k.a without clt), I tried answering it with Poisson
and got that minimal part of replacements should be 21.
I don't know from where to start here. I can guess that if we define $X$
to be number of replacements per week, then $\mu=7$ but I can't figure out
what is $\sigma^2$? How can I proceed and use standardization here ?
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