Question:Question 1:

The weight of the contents of a can of Campbell's minestrone soup can be modelled by a normal distribution with a mean of 440.3 grams and a standard deviation of 3.9 grams. A random sample of 12 cans is selected for quality control testing. Determine the probability that (to 4 decimal places)

1. A randomly selected can weighs more than 436.0 grams

2. The sample mean of the cans taken for quality control testing will be within the target range of 437.0 to 443.0 grams

Question 2:

The life of cell batteries is normally distributed with a mean of 68.4 hours and a standard deviation of17.6 hours.93% of the batteries will last more than how many hours?(2 decimal places)

Question 3:

Fortune 500 Magazine claimed the average age of all US Chief Executive Officers (CEOs) was 57.2 years with a standard deviation of 5.9 years. If a random sample of 40 USCEOswas selected,what is theprobabilitythat the sample average will be below 55 years of age? Give your answer correct to four decimal places.