Reference no: EM132846621

QUESTION 1
a. Using the pen-and-paper approach show how you would compute the probability of a single American adult woman being taller than 180 cm? Assume heights are normally distributed. Now use R to compute your final answer (Hint: the data for this question are in the NASA table above.)
b. If a sample of ri = 10 adult American women are selected what is the mean and standard deviation of the sample mean height?
c. What is the probability that the mean height of these 10 women is 180 cm or higher? Show how to answer this question using 'pen-and-paper', and then use R to compute your answer.
d. How does the probability from part a compare to the probability from part c?

QUESTION 2
With the multiple choice question from the workshop,
a. Compute the probability that the student does not get any questions correct. Show how you would work this out using 'pen¬and-paper', then compute your answer using R
b. State any assumptions required to support the validity of your findings.

QUESTION 3
For the dandelion example, compute
a. the probability of finding 10 dandelions in 1 m². Show how you would work this out using 'pen-and-paper', then compute your answer using R
b. the probability of finding 100 dandelions in 1 m². Show how you would work this out using 'pen-and-paper', then compute your answer using R
c. Interpret your answers.
d. State any assumptions required to support the validity of your answers