Three sky-jumpers attempt independently of each to land on a straight line on the ground marked ABC, where B is the half-way point of the line AC. Each jumper is able to land somewhere on the line with probability 0.8. Otherwise the jumper ends up landing some where away from the line. If any one of the jumper happens to land on the line, then he/she will land in the AB section with probability 0.5, or in the BC section also with probability 0.5. 

(a) What is the probability that any 2 out of the 3 jumpers manage to land somewhere on the line? 

(b) What is the probability that any 2 out of the 3 jumpers manage to land somewhere on the AB section of the line? The other one could have either landed in the BC section or not on the line at all.

(c) Jenny is one of the jumpers. What is the probability that Jenny is one of only two jumpers who manage to land somewhere on the line? 

(d) What is the probability that two jumpers manage to land somewhere on the line, given that Jenny is one of them?

Answer rating: 100% (QA)

Binomial probability PX nCx p x 1p nx pland somewher ... View the full answer