A dart is thrown at a target. The probability the dart will hit the target (yes or no) on a single attempt is 0.20. Each throw is independent of the other throws. Let X be the number of attempts before the target is hit.

a. What distribution does X follow? State the name and parameters.

b. Compute the expected number of attempts needed before hitting the target?

c. What is the variance and standard deviation of the number of attempts needed before hitting the target?

d. What is the probability that it will take less than 5 throws before hitting the target?