Hi all, I'm having troubles figuring out how to answer these questions and similar questions.
Combinatorics
In the long run 40% of patients treated for a particular disease with the drug streptomycin are cured. If a doctor were to treat 10 randomly chosen patients with the drug, what is the probability of:
i) 6 cures
ii) more than 8 cures?
A second doctor treats 10 patients with a new treatment and obtains 6 cures. Comment on this result.
And
A management team consists of 12 people. In how many ways could a sub-committee of 4 people be formed?
Thirty-two students are to be interviewed for 8 different jobs. In how many ways could the jobs be filled by selecting from these applicants.
Binomial Probability
A printer which has been giving trouble produces an error message on 3 out of every 10 print jobs on average.
What is the probability of this printer successfully doing 4 print jobs in a row?
Find the probability of drawing 2 red tokens from a box containing 5 red, 3 white and 5 yellow tokens. The tokens are drawn one at a time without replacement?
Thanks a lot.