The life of a vacuum cleaner is normally distributed with a mean of 2.0 years and a standard deviation of 1.0 years. find the probability that it lasts less than 3.6 years. (4 decimal places)

Ages of Gamblers The mean age of a sample of 22 people who were playing the slot machines is 51.1 years, and the standard deviation is 6.8 years. The mean age of a sample of 34 people who were playing roulette is 54.2 with a standard deviation of 3.2 years. Can it be concluded at a = 0.01 that the mean age of those playing the slot machines is less than those playing roulette? Use µ, for the mean age of those playing slot machines. Assume the variables are normally distributed and the variances are unequal. Part 1of hypoth Pa Part 2 of 5 Find the critical value(s). Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas. Critical value(s):

Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 141 miles in a day. Round your answer to four decimal places.

Assume that readings on thermometers are normally distributed with a mean of 0 and a standard deviation of 1. A thermometer is selected at random. Find the probability that the reading is less than -2.08