The probability that a lion kills a deer in a day of hunting is 20%. Assume that results are independent between days. What is the probability that the lion must wait fi ve days for its first successful hunt? 0.08192 0.91808 1 None
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- For a certain type of biological cell, the probability that the cell will survive for a given time is 0.3. Find the probability that just 4 out of 6 cells will survive for this time. * 0.0595 0.0348 0.0672 0.0489do fast within 1hrSuppose that it rains in Spain an average of once every 8 days, and when it does, hurricanes have a 8% chance of happening in Hartford. When it does not rain in Spain, hurricanes have a 5% chance of happening in Hartford. What is the probability that it rains in Spain when hurricanes happen in Hartford? (Round your answer to four decimal places.)
- A small regional carrier accepted 16 reservations for a particular flight with 14 seats. 12 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 40% chance, independently of each other.(Report answers accurate to 4 decimal places.)Find the probability that overbooking occurs. _____Find the probability that the flight has empty seats. ________It is said that it usually takes three years for the accident vehicle to be repaired.What is the probability that the repair of an accident vehicle will be completed within 5 hours? (Do not calculate the value of the natural constant e, but still hold)certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a one-hour flight is .04. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully.
- Suppose that 1.4% of men and 3.6% of women have night-blindness. Assume the population consists of 4 times as many men as women. A person is chosen at random from the population and is known to have night- blindness. What is the probability that this person chosen is a woman? Do not include a % sign when reporting your answer. Answer in units of percent. Your answer must be within ± 2.0% Your answer must be within ¹2%.Suppose the average tread-life of a certain brand of tire is 45,000 miles and that this mileage follows the exponential probability distribution. What is the probability that a randomly selected tire will have a tread-life between 30,000 and 50,000 miles?You play 3 lottery games each week. The probability of winning the 1st game is 0.05. The probability of winning the 2nd game is 0.1 And, the probability of winning the 3rd game is 0.2. Assume these are independent events. Find the probability that you will win at least one of the games this week. Give the probability as a decimal. If rounding, give to 4 decimal places. The probability is 4:22 PM 2/16/2021 hp prt sc delete home fa 1+ 144 num & backspace lock 6. %3D % 7. 8 P YU T %23 96
- 40% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. The probability is (Round to three decimal places as needed.) ...A certain disease has an incidence rate of 0.2%. The false negative rate is 8%, and the false positive rate is 3%. Calculate the probability that a person who tests positive actually has the disease. 0.0848 Note: The incidence rate is the probability that a random person gets the disease. The false negative rate is the probability of getting a negative result given that the person has the disease. The false positive rate is the probability of getting a positive result given that the person does not have the disease.6.55 During 2007, the crash rate for commuter air car- riers was 1.0 per 100,000 flying hours. Assuming this rate continues, what is the probability that there will be no more than one crash in the next 50,000 flying hours?