Question

The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32​ oz? Round your answer to four decimal places. ti84

Answer 1

Answer:  0.4013

Step-by-step explanation:

Given : The volumes of soda in quart soda bottles are normally distributed with : $\mu=32.3\text{ oz}$

$\sigma=1.2\text{ oz}$

Let x be the volume of randomly selected quart soda bottle.

z-score : $z=\dfrac{x-\mu}{\sigma}$

$z=\dfrac{32-32.3}{1.2}=-0.25$

The probability that the volume of soda in a randomly selected bottle will be less than 32​ oz = $P(x$

$=0.4012937\approx0.4013$

Hence, the probability that the volume of soda in a randomly selected bottle will be less than 32​ oz is 0.4013