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- A life insurance company has determined that each hour an average of twelve claims is filed in its Nashville branch. Question 13 What is the probability that during the next hour exactly twelve claims will be filed? Your answer must be between 0 and 1 and have four digits after the period (e.g., 0.1010).The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 16.5% daily failure rate. a. What is the probability that the student's alarm clock will not work on the morning of an important final exam? (Round to three decimal places as needed.) b. If the student has two such alarm clocks, what is the probability that they both fail on the morning of an important final exam? (Round to five decimal places as needed.) c. What is the probability of not being awakened if the student uses three independent alarm clocks? (Round to five decimal places as needed.)Suppose a certain breed of piglets have a sex-ratio of 0.54 (that is the probability of male piglets). If 5 piglets were born, what is the probability that 3 of them are male?
- For 10 percent of the products in a category, a firm fails to satisfy all demand during themonth. What is its in-stock probability?The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring.Brgy. Pallet has one Full Restore and one Max Revive available for emergencies. The probability that the Full Restore is available for use is 0.98 and the probability that the Max Revive is available for use is 0.92. Assuming that the availability of these items is independent of each other, what is the probability that both of these items are available for a Trainer to use?
- Suppose the amount of gasoline sold daily at a service station is uniformly distributed with a minimum of 1571 gallons and a maximum of 8154 gallons. What is the probability that daily sales will fall between 1951 gallons and 4845 gallons?In a specific type of electronic card, the probability of a transistor being defective is 0.01. Let's assume there are 200 transistors on the electronic card. If there are no defective transistors, the electronic card is considered to be functioning. What is the probability of any electronic card not functioning?On average, 5 traffic accidents per month occur at a certain intersection. What is the probability that in any given mohth at this intersection exactly 4 accidents will occur? no accident will occur?
- Suppose the times required for a cable company to fix cable problems in its customers' homes are uniformly distributed between 14 minutes and 20 minutes. What is the probability that a randomly selected cable repair visit will take at least 15 minutes? (Enter the final answers reduced to the lowest possible fraction.)Suppose that the amount of time it takes a clerk to process an employment application is uniformly distributed between 5 and 12 minutes. What is the probability that the clerk will take exactly 7 minutes to process a randomly selected application?
