probability to pick five parts in normal distribution batch

imadhimself

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Joined
Sep 2, 2014
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1
Hello there,
A batch of parts (process follows a normal distribution)
I pick 5 pieces randomly (without replacement)

CASE 1 : What is the probability of having 5 Parts in the interval +/- 2 sigma?
CASE 2 : What is the probability of having 4 parts in the interval +/- 2 sigma and a 1 part in the interval [- 3; -2] Or [2; 3] sigma?
CASE 3 : What is the probability of having 3 parts in the interval +/- 2 sigma and 2 parts in the interval [- 3; -2] Or [2; 3] sigma?

thank you


probability in normal distribution.JPG
 
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