The duration of childbirths are normally distributed. The mean is 268 days with a standard deviation amounting to 15. What is the probability of a childbirth that lasts less than 250 days? * 0.0606 0.1591 0.1151 0.0066
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- SAT tests have a mean of 500 and a standard deviation of 100. They are normally distributed. Amy got a 640. What percentile is she in?The mean output of hamburger patty of the Southern Valley Meat Corporation is 120,000 pounds daily, with a standard deviation of 40,000 pounds. Any output above 195,000 pounds daily would so tax the meat-handling crew as to cause a shutdown of the entire facility. What is the probability of such an event if the output is normally distributed? *Round-off final answer to 4 decimal placesThe lengths of human pregnancies are approximately normally distributed with a mean of 268 days and a standard deviation of 16 days. What is the probability that pregnancy lasts between 240 and 280 days?
- Trucks in a delivery fleet travel a mean of 100100 miles per day with a standard deviation of 3535 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives less than 148148 miles in a day. Round your answer to four decimal places.Annual precipitation in a certain city is normally distributed with a mean of 99 inches, and a standard deviation of 18 inches. Find the probability that the mean annual precipitation during 35 randomly picked years will be less than 101.8 inches.The life of light bulbs is distributed normally. The standard deviation of the lifetime is 30 hours and the mean lifetime of a bulb is 525 hours. Find the probability of a bulb lating for between 538 and 545 hours. Round to four decimals
- A dishwasher has a mean lifetime of 10 years with an estimated deviation of 2.05 years. The lifetime of a dishwasher is normally distributed. Supposed you are manufacturer and you take a sample of 10 dishwashers that you made. Find the probability that the sample would have a mean lifetime less than 9.73 years? Round to four decimal places.A particular fruit's weights are normally distributed, with a mean of 307 grams and a standard deviation of 25 grams.If you pick 25 fruit at random, what is the probability that their mean weight will be between 315 grams and 317 grams? Round answer to at least 4 decimal places.A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.5 years, and standard deviation of 0.5 years. If you randomly purchase 20 items, what is the probability that their mean life will be longer than 12 years? Round your probability to 4 decimals. Showing work is REQUIRED. Add Work
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