Using fluorescent imaging techniques, researchers observed that the position of binding sites on HIV peptides is approximately Normally distributed with a mean of 2.45 microns and a standard deviation of 0.35 micron.
What is the probability that a binding site position is between 2.0 and 3.0 microns, approximately?

Question

Quizplus · Accepted Answer

To find the probability that a binding site position is between 2.0 and 3.0 microns, we need to find the area under the Normal distribution curve between those two values. We can use a standard Normal distribution and standardize the values by subtracting the mean and dividing by the standard deviation:

Z1 = (2.0 - 2.45) / 0.35 = -1.29
Z2 = (3.0 - 2.45) / 0.35 = 1.57

Using a standard Normal distribution table or calculator, we can find the probability of the Z-score being between -1.29 and 1.57 to be approximately 0.843. Therefore, the answer is B.

Using Fluorescent Imaging Techniques, Researchers Observed That the Position of Binding