Question

the average number of calories in a 1.5-ounce chocolate bar is 225. suppose that the distribution of calories if approximately normal with a standard deviation of 10. find the probability that a randomly selected chocolate bar will have between 200 and 220 calories? in this problem, which of the following statements is true? select the correct response: my answer is not listed among the given choices. the upper bound is 9e99 the upper bound is 9e-99 the area under the curve is between two z values. the lower limit is located on the left side of the mean and the upper limit is located on the right side of the mean. the lower bound is -9e-99 the lower bound is -9e99. the mean of the distribution is 10.

Explanation:

To find the probability of calories between 200 and 220, we first convert both values to z-scores using $z=\frac{x-\mu}{\sigma}$. This probability corresponds to the area under the normal curve between these two z-values. The mean $\mu=225$, so both 200 and 220 are left of the mean, eliminating the side-of-mean option. The mean is 225 (not 10), and the bounds are not extreme values like 9E99/-9E99, which are used for tail probabilities, not this bounded range.

Answer:

The area under the curve is between two z values.