The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams.
-If we select one box of cereal at random from this population,what is the probability that it will weigh less than 900 grams?
A)4772
B)9772
C)9544
D)0456
E)0228

Question

Quizplus · Accepted Answer

To find the probability that a box of cereal weighs less than 900 grams, we use the Z-score formula: Z = (X - μ) / σ, where X is the value in question (900 grams), μ is the mean (910 grams), and σ is the standard deviation (5 grams). Plugging in the values, we get Z = (900 - 910) / 5 = -10 / 5 = -2. The Z-score of -2 corresponds to a probability of 0.0228 (or 2.28%) in the standard normal distribution table.

The Fill Weight of a Certain Brand of Adult Cereal