Please give a detailed answer.

Q 3. (a) Propeller blades do break during voyages. It has been observed that 85% of broken blades occur at the welded joints, and the remaimng 15% occur at the tip. A sample of 20 broken Propeller blades have been examined. (i) What is the probability that exactly ve of them are broken at the tip? (ii) What is the probability that fewer than four broke at the are welded joints? (iii) What is the probabilityr that none of them broke at the tip? [13 points] (b) The number of potholes on the main Nautical Street of RMU follows a Poisson distribution with a rate of three per 100 meters stretch of the street. (i) What is the probability that there are at most ve potholes on a 200 meter stretch of the street? (ii) What is the probability,r that there are at least two potholes on a 20 meter stretch of the street? [12 points]