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- The length of a particular species of fish can be assumed to be normally distributed with mean 25cm and standard deviation 3cm. An angler catches one of these fish from a river. What is the chance that the fish is between 19cm and 31cm in length? 95 100 68 50High temperatures in Antalya for the month of July follow a uniform distribution over the interval of 28 degrees to 43 degrees. What is the probability that the high temperature on a day in July exceeds 40 degrees?The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 70 with a standard deviation of 9.5 Assume that the distribution is approximately normal. What is the probability that an elite athlete has a maximum oxygen uptake of 65 ml/kg or lower?
- 4. The probability that a driver must stop at any one traffic light coming to IUKL is 0.2. What is the probability that a student must stop at the traffic light at most 2 out of 9 sets of traffic lights?A particular telephone number is used to receive both voice calls and fax messages. Suppose that 20% of the incoming calls involve fax messages, and consider a sample of 20 incoming calls. (Round your answers to three decimal places.) (a) What is the probability that at most 6 of the calls involve a fax message?(b) What is the probability that exactly 6 of the calls involve a fax message?(c) What is the probability that at least 6 of the calls involve a fax message?(d) What is the probability that more than 6 of the calls involve a fax message?b) Given the following statistics, what is the probability that a woman has cancer if she has a positive mammogram result? -One percent of women over 50 have breast cancer. -Ninety percent of women who have breast cancer test positive on mammograms. -Eight percent of women will have false positives.
- 13. The population of Wakanda increased by an average of 2% per year from 2000 to 2003. If the population of Wakanda on December 31, 2003 was 2,000,000, what was its population (rounded to the nearest thousand) on January 1, 2000?Customers are used to evaluate preliminary product designs. In the past, 91% of highly successful products received good reviews, 57% of moderately successful products received good reviews, and 15% of poor products received good reviews. In addition, 40% of products have been highty successful, 35% have been moderately successful and 25% have been poor products. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that a product attains a good review? (b) If a new design attains a good review, what is the probability that it will be a highly successful product? (c) If a product does not attain a good review, what is the probability that it will be a highly successful product? (a) 5985 (b) 6082 (c) i 0897PART D The number of false fire alarms in a suburb of Detroit averages 8.4 per day. Assuming that a Poisson distribution is appropriate: What is the probability that exactly 8 false alarms will occur on a given day? What is the probability that less than 8 false alarms will occur on a given day? What is the probability that more than 8 false alarms will occur on a given day? (Hint: the probabilities of all possible cases must add to one).
- Solve in R programming language: Suppose that the number of years that a used car will run before a major breakdown is exponentially distributed with an average of 0.25 major breakdowns per year. (a) If you buy a used car today, what is the probability that it will not have experienced a major breakdown after 4 years. (b) How long must a used car run before a major breakdown if it is in the top 25% of used cars with respect to breakdown time.Modeling and Simulation Q) The number of hurricanes hitting the coast of Florida annually has a Poisson distribution with a mean of 0.7. What is the probability that more than one hurricanes will hit the Florida coast in a year ?We want to predict maintenance expense ( y) for a truck during the current year, from the independent variables x1 miles driven (in thousands) during the current year and x2age of the truck (in years) at the beginning of the current year. We are given the information in