6. There are 40 books on a bookshelf. Exactly 10 of them have ared cover. The remaining books have a white cover. You intend tochoose a random sample of nine books, but you haven't decidedwhether to choose with replacement or without replacement?
a) If you choose books with our placement, would this procedurelead to independent trials or dependent trials?
b)if you choose books with replacement, would this procedure beconsistent with a binomial experiment or not?
c) what is the size of the population? show your work
d) what is the size of the sample? show your work
e) if you ultimately conduct a binomial experiment, find theprobability that the 5th book you select, happens to have a redcover? please show your work
f) if you ultimately conduct a binomial experiment, find theprobability that you choose two or more red-covered books? pleaseshow your work
Finally, for a binomial experiment, please determine: show yourwork
- average number of red books, per sample of nine books?
- the variance of the number of red books, per sample of ninebooks?
