MATH 221 Week 2 Homework

1. Question: Given the following information, find the probability that a randomly selected student will be very short. Number of students who are very short: 45, short: 60, tall: 82, very tall: 21 2. Question: Given the following information, find the probability that a randomly selected dog will not be a golden retriever. Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38 3. Question: Given that there is a 22% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days? 4. Question: Consider the following table. What is the probability of red? 5. Question: Consider the following table. What is the probability of green, given no? 6. Question: In a sample of 350 customers, 125 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor? 7. Question: Some days, the CEO holds meetings and some days the CEO is wearing blue shoes. How would you most likely classify these events? 8. Question: Of the shirts produced by a company, 5% have loose threads, 9% have crooked stitching, and 3.5% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching. 9. Question: Randomly select a customer that drives to our store. Randomly select a customer who is 14 years old. Are these events mutually exclusive? 10. Question: In a sample of 800 adults, 228 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals. 11. Question: A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair? 12. Question: An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes money, then there is a 50% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend. 13. Question: An investment advisor believes that there is a 74% chance of making money by investing in a specific stock. If the stock makes money, then there is a 54% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a dividend. 14. Question: A smartphone company found in a survey that 20% of people did not own a smartphone, 28% owned a smartphone only, 14% owned a smartphone and only a tablet, 13% owned a smartphone and only a computer, and 25% owned all three. If a person were selected at random, what is the probability that the person would own a smartphone only or a smartphone and computer? 15. Question: Match the terms and their definitions