a machine producing vitamin E capsules operates so that the actual amount of vitamin E in each capsule is normally distributed with a mean of 5 mg and a standard deviation of 0.1 mg find the probability that randomly selected capsule have vitamin e more than 3.8 mg

The patient recovery time from a particular surgical procedure is normally distributed with mean of 5.5 days and a standard deviation of 1.7 days. What is probability of spending morethan4 days in recovery?

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 70 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 70 tons and standard deviation o = 1.4 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 69.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 30 cars chosen at random will have a mean load weight x of less than 69.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes O No Suppose the weight of coal in 30 cars selected at random had an average x of less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? O Yes, the probability that…

The distribution of hourly wages of employees of the TNON company obeys a normal law whose average is$10.50 and the standard deviation is $2.00. Find the probability that aemployee earns between $9.00 and $14.00 per hour.

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 53 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 53 tons and standard deviation = 0.9 ton. USE SALT (a) What is the probability that one car chosen at random will have less than 52.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 29 cars chosen at random will have a mean load weight x of less than 52.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 52.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? OYes O No Suppose the weight of coal in 29 cars selected at random had an average x of less than 52.5 tons. Would that fact • make you suspect that the loader had slipped out of adjustment? Why? O Yes, the probability that…

Patient recovery time from a surgical procedure is normally distributed with a mean of 4.5 daysand a standard deviation of 1.5 days. What is the probability of spending more than two days inrecovery?

The life span of a machine in a factory is normally distributed with a mean of 10.2 years and a standard deviation of 1.7 years. What is the probability that a randomly selected machine will last between 11 and 13 years.