Question

1. A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 554 ng/mL with a standard deviation of 4.191 ng/mL. Assuming the true distribution of blood vitamin D levels follows a normal distribution, if you randomly select a landscaper in the US, what is the probability that his/her vitamin D level will be 59.88 ng/mL or more?

2. 9% of mosquitos caught at random in any given field study carry malaria. If you conduct a study and capture 72 mosquitos, how many mosquitos infected with malaria would you expect to have in your mosquito-catching Mason jar out of all 72 mosquitos buzzing around? Round up to the nearest whole number if your calculation results in a number with decimal point values. For example, 0.2 rounds up to 1 and 74.25 rounds up to 75.

3. A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 42.85 ng/mL with a standard deviation of 4.034 ng/mL. Assuming the true distribution of blood vitamin D levels follows a Gaussian distribution, what is the upper value of the region for which approximately 68% of the data are located within the distribution? Recall the 68-95-99.9% observation discussed in the "Normal Distribution" section of the textbook that is helpful in answering the question.

Answer 1

Question 1:

Dear student we can answer one question once post remaining separately