SOLUTION: The shell thickness of eggs is Normally distributed with a mean of 0.38mm and a standard deviation of 0.03mm. (iv) If two eggs were selected at random how likely is it that bot

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Question 429566: The shell thickness of eggs is Normally distributed
with a mean of 0.38mm and a standard deviation of 0.03mm.
(iv) If two eggs were selected at random how likely is it that both would have a
shell thickness of at least 0.41mm?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The shell thickness of eggs is Normally distributed
with a mean of 0.38mm and a standard deviation of 0.03mm.
(iv) If two eggs were selected at random how likely is it that both would have a shell thickness of at least 0.41mm?
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Find P(one of the eggs has thickness >= 0.41)
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z(0.41) = (0.41-0.38)/0.03 = 1
P(x >= 0.41) = P(z>= 1) = 0.1587
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P(2 of the eggs >=0.41) = (0.1587)^2 = 0.0252
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Cheers,
Stan H.
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