A doctor has assigned the following chances to a medical procedure.
full recovery 55%
condition improves 24%
no change 17%
condition worsens 4%
Suppose the procedure is performed on 5 patients. Assume that the procedure is independent for each patient.
What is the probability that all five patients will recover completely?

Question

A doctor has assigned the following chances to a medical procedure.
full recovery       55%
condition improves       24%
no change       17%
condition worsens       4%
Suppose the procedure is performed on 5 patients. Assume that the procedure is independent for each patient.
What is the probability that all five patients will recover completely?

anonymous · Answer

a.
5%
c.
10%
b.
55%
d.
15%

anonymous · Answer

Is it 10%?

anonymous · Answer

The chance that one will recover is .55
The chance that the second will recover is .55
The chance that third will recover is .55
The chance that the fourth will recover is .55
The chance that the fifth will recover is .55
So the chance that all 5 will recover is .55*.55*.55*.55*.55=.55^5

anonymous · Answer

Ok can you help with another?

anonymous · Answer

sure

anonymous · Answer

A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8 . an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.
Calculate the expected value of the random variable.