The prerequisite for a required course is that students must have taken either course a or course b. by the time they are juniors, 56% of the students have taken course a, 26 % have had course b, and 12% have done both. a) what percent of the juniors are ineligible for the course? b) what's the probability that a junior who has taken course a has also taken course b? c) are taking these two courses disjoint events? explain. d) are taking these two courses independent events? explain.

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

Identify one charcteristic of exponential growth

Aclassroom is made up of 11 boys and 14 girls. the teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). if the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?