Question

The probability that a gunner hits a certain target is 3/5. The shooter will shoot until he hits the target 4 times.
(NOTE: In this question, random variable should be defined first, distribution and parameters of random variable should be determined. Then all items should be solved using the relevant distribution.)
a) Determine the random variable and the distribution of the random variable. Also write the probability function of the random variable.
b) Calculate the probability of hitting the 4th successful shot at the 7th shot.
c) Calculate the probability of hitting the 4th successful shot at the 7th shot at the latest.
d) Calculate the probability of hitting the 4th successful shot at the 8th shot at the earliest.
e) 4. In which shot is expected to hit his successful shot?

Answer 1