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

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) (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?
-----------
Find P(one of the eggs has thickness >= 0.41)
---
z(0.41) = (0.41-0.38)/0.03 = 1
P(x >= 0.41) = P(z>= 1) = 0.1587
----
P(2 of the eggs >=0.41) = (0.1587)^2 = 0.0252
=========================================
Cheers,
Stan H.
============
RELATED QUESTIONS
Assume that z-scores are normally distributed with a mean of 0 and a standard deviation... (answered by stanbon)

Assume that z-scores are normally distributed with a mean of 0 and a standard deviation... (answered by stanbon)

Assume that z-scores are normally distributed with a mean of 0 and a standard deviation... (answered by ewatrrr)

Assume that z-score are normally distributed with a mean of 0 and a standard deviation of (answered by CPhill)

Could you help me please with this problem below: The number of eggs of a female house... (answered by stanbon)

assume that z-scores are normally distributed with a mean of 0 and a standard deviation... (answered by stanbon)

Here is the full question: Assume that z-scores are normally distributed with a mean... (answered by Theo)

Assume that Z-scores are normally distributed with a mean of 0 and a standard deviation... (answered by ewatrrr)