Question

A certain type of missile hits the target with probability p = 0.3. What is the least number of missiles should be fired, so that there is atleast an 80% probability that the target is hit?

Answer 1

Answer:

Probability of hittiy the forget = 0.3

If'n' is the no. of times that the Missile is fired.

Probability of hitting at least once = 1-[1-0.3]n = 0.8

0.7n=0.2 

n log 0.7 = log 0.2 

⇒n=4.512 

for n = 4 ; p < 0 . 8 

taken = 5