Question

The amount of juice in bottles labeled as containing 64 ounces is normally distributed with a mean of 65.58 ounces and a standard deviation of 1.02 ounces. What proportion of bottles are filled with less than 64 ounces of juice? Round your answer to 4 places after the decimal point.

Answer 1

Solution :

Given that ,

mean = = 65.58

standard deviation = = 1.02

P(X< 64) = P[(X- ) / < (64-65.58) /1.02 ]

= P(z < -1.55)

Using z table

= 0.0601