Question

The weight of an energy bar is approximately normally distributed with a mean of 42.35 grams with a standard deviation of 0.025 gram. What is the probability that an individual energy bar weighs less than 42.335 grams?

Answer 1

The probability that an individual energy bar weighs less than 42.335 grams is approximately 0.2743.

Step-by-step explanation:

To find the probability that an individual energy bar weighs less than 42.335 grams, we need to calculate the z-score and then find the corresponding probability using the standard normal distribution table.

The formula for calculating the z-score is:

z = (x - mean) / standard deviation

Substituting the given values:

z = (42.335 - 42.35) / 0.025 = -0.6

Looking up the corresponding probability in the standard normal distribution table, the probability that an individual energy bar weighs less than 42.335 grams is approximately 0.2743.