Are females and males depicted equally in online images of the workplace? Not according to the results of a Pew Internet Research (December 2018) study of online images for hundreds of jobs. For each job, the researchers searched and analyzed the first 100 workplace images. One result: males are overrepresented (and women underrepresented) on the searched images for the majority of jobs. In addition, the search position of the image showing the first female (and male) was determined. Since 100 workplace images were studied, the search position ranged from 1 to 100. (Example: For one job, the first picture of a female occurred with the fifth image; thus, the 1st-female-image position for this job is 5.) When averaged across jobs, the 1st-female-image position had a mean of 3.7 and the 1st-male-image position had a mean of 2.0. Assume that the standard deviation is .5 for both, and that both distributions are approximately normal.

a. For a randomly selected job, what is the probability that the 1st-female-image position is 2 or less?

b. For a randomly selected job, what is the probability that the 1st-male-image position is 2 or less?