MATH 110 Module 3 Problem Set 1-3 Answers Portage Learning.

MATH 110 Module 3 Problem Set 1-3 Answers Portage Learning. Problem Set 3.1 Solutions 1. Solution We can see from the probability distribution, that if a hurricane hits the U.S. coast, there is a .403 probability that it is a category 1 hurricane. 2. Solution. This problem and the next, illustrate the relationship between percentage and probability. Since 54% of the students are female, if you choose a student at random, from the school, you will have a .54 probability of choosing a female. Since 46% of the students are male, if you choose a student at random, from the school, you will have a .46 probability of choosing a male. 3. Solution. Since 20 % of the jelly beans are black, there will be a .20 probability of choosing a black jelly bean. Since 19 % of the jelly beans are yellow, there will be a .19 probability of choosing a yellow jelly bean. 4. Solution. a) For permutations, we will use: b) For combinations, we will use: 5. Solution. a) For permutations, we will use: b) For combinations, we will use: 6. Solution. For passwords, order matters. For example, the password 63pn2 is different than the password p2n36 even though both passwords use the exact same characters. Therefore, we want to count the total number of ways that we can choose and order the characters. That means that we should use permutations. We have a total number of nine characters to choose from, so n=9. We will be selecting five characters, so r=5. We will use: