The amount of soda dispensing machine pours into a can of soda is normally distributedwith a mean of 12 ounces and a standard deviation of 0.2 ounce. Find the probability that a can contains less than 11.75 ounces of soda.

0.1056

Step-by-step explanation:

Mean (μ) = 12 ounce

Standard deviation (σ) = 0.2 ounce

P (x<11.75) = ?

Let x be the random variable for the amount of soda a machine will dispense.

Using normal distribution

Z = (x - μ) / σ

Z = (11.75 - 12) / 0.2

Z = (-0.25) / 0.2

Z = - 1.25

From the normal distribution table

1.28 is 0.3944

Φ (z) is the tabular value of z

Φ (z) = 0.3944

Recall that when Z is negative

P (x
P (x < 11.75) = 0.5 - 0.3944

= 0.1056