Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 75 tons of coal into each car. The actual weights 1.5 ton. of coal loaded into each car are normally distributed, with mean u 75 tons and standard deviation o = (a) What is the probability that one car chosen at random will have less than 74.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 34 cars chosen at random will have a mean load weight x of less than 74.5 tons of coal? (Round your answer to four decimal places.)

The average annual rainfall in New York City follows a normal distribution with a mean of 49.9 inches and a standard deviation of 9.5 inches. On what percentage of years can we expect there to be between 40.4 and 59.4 inches of rain in New York City? (A) 100% B) 99.7% C) 95% D) 68%

Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation g= 15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places as needed.)

Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find Pg9, the 69-percentile. This is the temperature reading separating the bottom 69% from the top 31%. P69 = °C