SOLUTION: Dr. Zivkov has developed a new procedure that he believes can correct a life-threatening medical condition. If the success rate for this procedure is 40 % and the procedure is trie

Question 1203054: Dr. Zivkov has developed a new procedure that he believes can correct a life-threatening medical condition. If the success rate for this procedure is 40 % and the procedure is tried on 8 patients, what is the probability that at least 2 of them will show improvement?
The probability is:
(Round your answer to 3 decimal places.)
Answer by ikleyn(52908) (Show Source): You can put this solution on YOUR website!
.
Dr. Zivkov has developed a new procedure that can correct a life-threatening
medical condition. If the success rate for this procedure is 40 % and the procedure is
tried on 8 patients, what is the probability that at least 2 of them will show improvement?
~~~~~~~~~~~~~~~~~

It is a typical problem on binomial distribution probability.

The number of trials is n= 8; 
the probability of success of each individual trial is p= 0.4;
the successful trials indexes are 2 or 3 or 4 or 5 or 6 or 7 or 8 patients


    So,  P = P(2) + P(3) + P(4) + P(5) + P(6) + P(7) + P(8).


Having so many calculations to do, it is better (more economic and more efficient way) 
to transform the formula equivalently

      P = 1 - P(0) - P(1) =  = 

        =  = 0.8936  (rounded).    ANSWER

Solved.

RELATED QUESTIONS
3% of babies in a remote community have a certain blood condition. A new medical test was (answered by robertb)

If a particular medical procedure has a 95% success rate for each time it is performed.... (answered by ewatrrr)

Dr. Susan Breuner is an industrial psychologist. She is studying stress among executives... (answered by ewatrrr)

4.2. A new drug that treats patients with anxiety has a 60% success rate in improving the (answered by harpazo)

A new drug that treats patients with anxiety has a 60% success rate in improving the... (answered by ewatrrr)

.2. A new drug that treats patients with anxiety has a 60% success rate in improving the... (answered by harpazo)

A multinational oil company is considering setting up a subsidiary in Grenada. They... (answered by ikleyn)

A study of two doctors finds that the probability of one doctor correctly diagnosing a... (answered by math_helper)