A large university offers STEM (science, technology,engineenng. And mathematics) intemshups to women in STEM majors at the university. A woman must be 20 years or older to meet the age requirement for the intemships. The table shows the probability distribution of the ages of the women in STEM majors at the university Age (years) 17 18 19 20 21 22 23 or older Probability 0. 063 0. 005 0. 107 0. 111 0. 252 0. 249 0. 213 (a) Suppose one woman is selected at random from the women in STEM majors at the university. What is the probahility that the woman selected will not meet the age requirement for the internships?(b) Suppose a simple random sampling process is used to select the sample of 100 women. What is theprobability that at least 30 percent of the women in the sample will not meet the age requirement for the internships?