On the average, a certain computer part lasts ten years. The length of time the computer part lasts is exponentially distributed. a. What is the probability that a computer part lasts more than 7 years?
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- The useful life of an electrical component is exponentially distributed with a mean of 4,000 hours. a. What is the probability the circuit will last more than 4,750 hours? b. What is the probability the circuit will last between 4,000 and 4,250 hours? c. What is the probability the circuit will fail within the first 3,750 hours?A professor sees students during regular office hours. Time spent with students follows an exponential dis- tribution with a mean of 10 minutes. Find the probability that a given student spends fewer than 20 minutes with the professor. Find the probability that a given student spends more than 5 minutes with the professor. Find the probability that a given student spends between 10 and 15 minutes with the professor.A four-letter word jumble is being formed from the letters in the word LOGARITHM. What is the probability is spells MATH?
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- A poll showed that 43.3% of Americans say they believe that life exists elsewhere in the galaxy. What is the probability (in percent form) of randomly selecting someone who does not believe that life exists elsewhere in the galaxy. Probability = % (Please round your answer to one decimal place.)Ashley’s Internet service is terribly unreliable. In fact, on any given day, there is a 60% chance that her Internet connection will be lost at some point that day. What is the probability that her Internet service is not broken for seven days in a row? Enter a fraction or round your answer to 4 decimal places, if necessary.The number of miles that a particular car can run before its battery wears out is exponentially distributed with a mean of 13885 miles. a. What is the probability that the car battery will be dead in less than 12797 miles?
- 20% of the patron's order the chef's special. The probability that 2 out of the next ten customers will order the chef's special is? (round your answer to three decimal places).Let the time between two consecutive arrivals at a grocery store checkout line be exponentially distributed with a mean of four minutes. Find the probability that the next arrival does not occur until at least three minutes have passed since the last arrival. Multiple Choice 0.7364 0.5276 0.2636 0.4724A certain insecticide kills 60%60% of all insects in laboratory experiments. A sample of 99 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 55 insects will survive? Round your answer to four decimal places.
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