Question 1 Blood Types

Myself and 34% of people have A+ blood type. Let X be the number of people in a random sample of 20 people who have A+ blood types.

On excel sheet labeled A+ put your final answers in the correct cell highlighted yellow. Show your work either by the formula in the excel sheet or describing what you used on a calculator in the cell next to your answer.

a)What is the probability that exactly 5 people in the random sample of 20 have A+ blood types? (Keep 4 or more decimal places)

b)What is the probability that at least 5 people in the random sample of 20 have A+ blood types? (Keep 4 or more decimal places)

c)What is the probability that at most 5 people in the random sample of 20 have A+ blood types? (Keep 4 or more decimal places)

d)How many would you expect to have A+ blood types in the random sample of 20? (Keep all the decimal places)

Question 2 Pumpkin Harvests

The time it takes for a particular type of pumpkin to mature for harvest follows a normal distribution with a mean of 105 days and a standard deviation of 7 days.

On Excel sheet labeled Pumpkin put your final answers in the correct cell highlighted yellow. Show your work either by the formula in the excel sheet or describing what you used on a calculator in the cell next to your answer.

a)What is the probability that a randomly selected pumpkin of this variety takes more than 100 days to mature for harvest? (Keep 4 or more decimal places)

b)What is the probability that a randomly selected pumpkin of this variety takes between 95 and 115 days to mature? (Keep 4 or more decimal places)

c)If you find the average of a random sample of 16 of these pumpkins, what is the sample distribution of this average? (Shape, mean, and standard deviation) (If appropriate, keep 2 or more decimal places)

d)What is the probability the average time to mature for 16 randomly selected pumpkins is between 95 and 115 days? (Keep 4 or more decimal places)