A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.1 years, and standard deviation of 0.9 years. The 2% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place.
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- Solve the problem. Round to the nearest tenth. min one region, the September energy consumption levels for single family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find which is the consumption level separating the bottom 45% from the top 55%.A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.7 years, and standard deviation of 0.9 years. The 3% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place. yearsSuppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to $24 minutes. The 16th percentile is a phone call that lasts minutes.
- As an electrical engineer, you have designed a new efficient light bulb. In order to predict its life expectancy, you conducted a series of experiments on 135 of these light bulbs and gathered the data shown in the table. Plot the data and calculate the mean and standard deviation.A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 35,000 miles and a standard deviation of 2100 miles. He wants to give a guarantee for free replacement of tires that don't wear well. How should he word his guarantee if he is willing to replace approximately 10% of the tires? Click to view page 1 of the table. Click to view page 2 of the table. Tires that wear out by miles will be replaced free of charge. (Round to the nearest mile as needed.)A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.2 years, and standard deviation of 3.3 years.The 7% of items with the shortest lifespan will last less than how many years?Give your answer to one decimal place.
- IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the minimum IQ required to be able to correctly claim to be in the "top 5%" of IQ scores. Round to the nearest whole number.A race director is preparing for an upcoming marathon and estimates that the mean time to finish is 315 minutes. Assume that the times are normally distributed, with a standard deviation of 60 minutes. Use this table or the ALEKS calculator to find the percentage of times that are shorter than 453 minutes. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%). % XA section of highway is posted with a 55 mph speed limit. In fact, speeds of cars traveling on this section are normally distributed with mean 58 mph and standard deviation 5 mph. If the state patrol decides to ticket cars in the fastest 10 %, at what speed will they start ticketing ? Round your answer to the first decimal position.
- Students in a class took a test whose results were normally distributed. The mean score was an 81 and the standard deviation was 4.5. What score is at the 83rd percentile (round to the nearest whole number.) a.84 b.83 c.85 d.86answer D,E,FThe mean time it takes a group of students to complete a statistics final exam is 98 minutes, and the standard deviation is 9 minutes. Within what limits would you expect approximately 95% of the students to complete the exam? Assume the variable is approximately normally distributed.