Thank you!

QUESTION 20 A researcher is interested in the lengths of Salvelinus fontinalis (brook trout), which are known to be approximately Normally distributed with mean 80 centimeters and standard deviation 5 centimeters. To help preserve brook trout populations, some regulatory standards need to be set limiting the size of fish that can be caught. The probability of catching a brook trout less than 72 centimeters in length is what? Answer to 4 decimal places. QUESTION 21 A researcher is interested in the lengths of Salvelinus fontinalis (brook trout), which are known to be approximately Normally distributed with mean 80 centimeters and standard deviation 5 centimeters. To help preserve brook trout populations, some regulatory standards need to be set limiting the size of fish that can be caught. What proportion of fish are larger than 86 centimeters in length? Answer to 4 decimal places. QUESTION 22 A researcher is interested in the lengths of Salvelinus fontinalis (brook trout), which are known to be approximately Normally distributed with mean 80 centimeters and standard deviation 5 centimeters. To help preserve brook trout populations, some regulatory standards need to be set limiting the size of fish that can be caught. To ensure that the shortest 8% of the brook trout get thrown back the lower cut-off should be set at what? Answer to 3 decimal plac QUESTION 23 The level of nitrogen oxides (NOX) in the exhaust of cars of a particular model varies Normally with mean 0.25 grams per mile (g/mi) and standard deviation 0.05 g/mi. Government regulations call for NOX emissions no higher than 0.3 g/mi. A company has 4 cars of this model in its fleet. What is the probability that the average NOX level of these cars is above the 0.3 g/mi limit? Answer to 4 decimal places. QUESTION 24 The average age of trees in a large local park is 60 years with a standard deviation of 2.2 years. A simple random sample of 400 trees is selected, and the sample mean age > of these trees is computed. The probability that the average age > >of the 400 trees is more than 60.1 years is what? Answer to 4 decimal places. QUESTION 25 Up to 20% of Americans contract influenza each year. A sample of 400 randomly selected Americans is chosen and the number with influenza is recorded. Let X represent the number with influenza in the sample. If X = 75 individuals are found to have influenza, then the sample proportion is what? Answer to 4 decimal places