The amount of milk sold each day by a grocery store varies according to the Normal distribution with mean 130 gallons and standard deviation 12 gallons. On a randomly selected day, the probability that the store sells at least 154 gallons is:
A)0.0228.
B)0.1587.
C)0.8413.
D)0.9772.

Question

Quizplus · Accepted Answer

To find the probability that the store sells at least 154 gallons, we calculate the Z-score for 154 gallons using the formula Z = (X - μ) / σ, where X is the value in question, μ is the mean, and σ is the standard deviation. Plugging in the values, we get Z = (154 - 130) / 12 = 2. This corresponds to the right tail of the normal distribution. Looking up the Z-score of 2 in a standard normal distribution table or using a calculator, we find that the area to the right of Z = 2 is approximately 0.0228, indicating the probability of selling at least 154 gallons.

The Amount of Milk Sold Each Day by a Grocery