Suppose 58% of recent college graduates plan on pursuing a graduate degree. Thirteen recent college graduates are randomly selected.   a. What is the probability that no more than four of the college graduates plan to pursue a graduate degree? b. What is the probability that exactly seven of the college graduates plan to pursue a graduate degree? c. What is the probability that at least six but no more than ten of the college graduates plan to pursue a graduate degree?

Q3.The phone number in one region is designed to have 8 digits. The first digit can not be zero. 1.How many different phone numbers are possible? 2. Randomly select one phone number, what is the probability that it starts with number 6? 3. Randomly select one phone number, what is the probability that all 8 digits are different numbers?

1. involving the selection of colored balls from a box. Assume that the box contains 7 balls: 2 red, 4 green, and 1 blue. Two balls are drawn at random, one after the other without replacement. What is the probability that the first ball was blue, given that the second was red?  2. involving university students' math backgrounds. Assume that 50 percent of the students at the university have taken 4 years of high school math. Of those with four years of high school math, 75 percent plan to major in science. Of those without 4 years, only 25 percent plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that this student had four years of high school math?

The sales force of a business consists of 10 men and 10 women. A production unit of 9 people is set up at random. a. What is the probability that it will consist of 4 men and 5 women? b. What is the probability that it will consist of all men? c. What is the probability that it will consist of at least one woman. a. The probability that it will consist of 4 men and 5 women is. (Simplify your answer. Type an integer or a fraction.)