Three machines turn out all the products in a factory, with the first machine producing 15% of the products, the second machine 25%, and the third machine 60%. The first machine produces defective products 4% of the time, the second machine 2% of the time and the third machine 20% of the time. What is the probability that a non-defective product came from the second machine? (Round your answer to four decimal places.)

Trevor is interested in purchasing the local hardware/sporting goods store in the small town of Dove Creek, Montana. After examining accounting records for the past several years, he found that the store has been arossina over $850 per day about 55% of the business days it is open. Estimate the probability that the store will aross over $850 for the following. (Round your answers to three decimal places. (a) at least 3 out of 5 business davs (b) at least 6 out of 10 business days (c) fewer than 5 out of 10 business days (d) fewer than 6 out of the next 20 business days (e) more than 17 out of the next 20 business days

The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2374 raffle tickets at $5 per ticket.  Kevin bought thirty-four tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean? (Round your answer to five decimal places.)What is the probability that Kevin will not win the cruise? (Round your answer to five decimal places.) Expected earnings can be found by multiplying the value of the cruise by the probability that Kevin will win. What are Kevin's expected earnings? (Round your answer to two decimal places.)$ Is this more or less than the amount Kevin paid for the thirty-four tickets?   How much did Kevin effectively contribute to the Samaritan Center for the Homeless? (Round your answer to two decimal places.)$

Diet Dr.Pepper is going old school and putting a "Free DP" notification under 10% of their 20-oz bottle caps. If I purchase a 6-pack of 20-oz bottles, what is the probability that I win at least two free drpeppers?