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- 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 2204 raffle tickets at $5 per ticket. (a) Kevin bought 34 tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean? (Round your answer to five decimal places.)What is the probability that Kevin will not win the cruise? (Round your answer to five decimal places.)(b) Expected earnings can be found by multiplying the value of the cruise by the probability that Kevin will win. What are Kevin's expected earnings? (Round your answer to two decimal places.)$Is this more or less than the amount Kevin paid for the 34 tickets? How much did Kevin effectively contriute to the Samaritan Center for the Homeless? (Round your answer to two decimal places.)$Tammy is practicing her basketball free throws. On each attempt, she has a 0.2 chance ofsuccessfully making it. Each attempt is independent of the previous ones. She will keepattempting free throws until she makes a successful one.(a) What is the probability that she will make exactly three attempts?(b) What is the probability that she will make no more than three attempts?(c) What is the probability that she will need to make more than three attempts?(d) Prove, using series from calculus, that the probability that she will ultimately make a successful attempt is 1.You are a realtor trying to reach your end of year bonus. To do so, you need to sell 2 homes inthe next three days. In a typical 30-day month, you sell 15 homes. What is the probability thatyou will get your end of year bonus?
- The table below shows the results of a survey that asked 1062 adults from a certain country if they favored or opposed a tax to fund education A person is selected at random. Complete parts (a) through (c) Males Females Total Support 170 238 408 Oppose 326 296 622 Unsure 8 24 32 Total 504 558 1062For this problem, assume that the lottery pays $ 20 on one play out of 200, it pays $ 2000 on one play out of 2500, and it pays $ 17500 on one play out of 150000. (1) What probability should be assigned to a ticket's paying $ 20? (2) What probability should be assigned to a ticket's paying $ 2000? (3) What probability should be assigned to a ticket's paying $ 17500? (4) What probability should be assigned to a ticket's not winning anything?The odds against student X solving a Business Statistics problem are 8 to 6, and odds in favour of student Y solving the problem are 14 to 16. () What is the probability that the problem will be solved if they both try independently of each other ? (i) What is the probability that none of them is able to solve the problem ?
- It is forecasted that there is a 40% chance of raining on Tuesday and a 60% chance of raining on Wednesday. It is expected that the chance of raining on both days is 35%. (a) Determine the probability that it will rain on either Tuesday or Wednesday. (b) Find the probability of not raining on Tuesday.How would you find the answer for these questions?The 10-year survival rate for blood cancer is approximately 12%. If 145 people who have blood cancer are treated for the disease, calculate the probability that: (i) no one will survive for 10 years. (ii) not more than 4 will survive for 10 years.
- A retail store has implemented procedures aimed at reducing the number of bad checks cashed by its cashiers. The store's goal is to cash no more than eight bad checks per week. The average number of bad checks cashed is 2 per week. Let x denote the number of bad checks cashed per week. Assuming that x has a Poisson distribution: (a) Find the probability that the store's cashiers will not cash any bad checks in a particular week. (Round your answer to 4 decimal places. Leave no cells blank - be certain to enter "O" wherever required.) Probability (b) Find the probability that the store will meet its goal during a particular week. (Round your answer to 4 decimal places. Leave no cells blank - be certain to enter "O" wherever required.) Probability(a) The probability that a student passes the P&S exam is 0.7. (i)Find the probability that a given student will pass the P&S exam after the third try. (ii)Find the probability that the third student who fails the P&S exam is found after the fifth student in a class of 9 students? (iii)Find the probability that at most 3 students will pass the P&S exam in a class of 7 students.Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx