Name: ______________________________________ Module 03 Homework Assignment 1.) A nurse at a fertility clinic has a couple who is interested in having three children and wants to know the probability of having exactly one boy. To help the nurse determine the probability of having exactly one boy answer the following questions: a.) What is the sample space for a couple having three children? b.) What is the probability of having exactly one boy out of three children? c.) The couple decides to have three boys. What is probability of having three boys out of three children? d.) Would it be \"unusually low\" to have three boys? Explain. 2.) A die is rolled. Find the following probabilities: a.) P(rolling a 5) b.) P(rolling a 7) c.) P (rolling an even number) d.) P (rolling a number less than 5) e.) P(rolling a number less than or equal to 6) 3.) In a recent survey, the following data was obtained in response to the question \"When making a purchase, do you prefer to pay with cash or a credit card?\" The responses are listed in the table. Gender Males Females Total Cash 21 15 36 Credit Card 39 25 64 Total 60 40 100 a.) What is the probability that a randomly selected person is a female or prefers to pay with cash? b.) What is the probability that a randomly selected person is a male or prefers to pay with a credit card? c.) What is the probability that a randomly selected person is a female and prefers to pay with cash? d.) What is the probability that a randomly selected person is a male and prefers to pay with a credit card? e.) Given that the person prefers to pay with a credit card, what is the probability that the person is a male? f.) Given that the person is a female, what is the probability that she prefers to pay with cash? 4.) Your instructor administers a 5 question multiple choice test. Each question has 4 possible answers of which 1 answer is correct. Find the probability of getting at least 1 question correct. 5.) You and 5 friends are interested in forming a club. How many different ways can a President, Treasurer and Secretary be selected? 6.) A journalist has 10 books to review. Of the 10 books being reviewed, he can select 4 reviews for publication. How many ways can the 4 reviews be selected? 7.) Winning the grand prize at a carnival game requires you to randomly select 7 different numbers, ranging from 0 to 35, and matching the same 7 numbers drawn at the end of the carnival. The order in which you select the 7 numbers does not matter. What is the probability of winning the prize