Answer all questions with explanation

5. The probability of a successful rocket launching equals 0.80. Let X be the number of launching attempts made until 3 successful launching have occurred.~ [a] Identify the distribution of X and its parameters, write down the pdf of X. (8 marks) [b] What is the probability that exactly 6 attempts will be necessary? (3 marks) [c] What is the probability that fewer than 6 attempts will be required? (5 marks)~