Question

suppose a brewery has a filling machine that fill 12 once bottles. It is known that the amount of beer poured follows a normal distribution with a mean of 12.8 tunes and a standard deviation of 0.04 ounce. Find the probability that the bottle contains fewer that 12.08 ounces of beer.

Answer 1

Solution :

Given that,

mean = = 12.8

standard deviation = = 0.04

a ) P( x < 12.8 )

P ( x - / ) < ( 12.8 - 12.8 / 0.04)

P ( z < 0 / 0.04 )

P ( z < 0 )

= 0.5000

Probability = 0.5000