Answers
Solution:-
Given that,
mean = 
standard deviation = 
a) Using standard normal table,
P(Z < z) = 90%
= P(Z < z) = 0.90
= P(Z < 1.282) = 0.90
z = 1.282
Using z-score formula,
x = z *
x = 1.282 * 6500 + 44000
x =$ 52333
b) n = 10
=
= / 
n = 6500 / 10 = 2055.48
Using z-score formula
= z * +
= 1.282 * 2055.48 + 44000
= $ 46635
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