Answer:
0.0062
Step-by-step explanation:
Given that the mount of orange juice in a 500 ml can from a certain company is a random variable with a mean of 500 ml and a standard deviation of 2 ml.
As per central limit theorem sample mean follows normal here with mean = 500 ml and std error - [tex]\frac{2}{\sqrt{100} } \\=0.2[/tex]
Sample mean is N(500, 0.2)
Required probability
= probability that the sample mean is less than 499.5 ml
= [tex]P(X<499.5)\\=P(Z<\frac{-0.5}{0.2} )\\= P(Z<-2.5)\\\\ =0.00621[/tex]
Rounding off
0.0062
