A macadamia farm in Queensland is experiencing pest infestation issues affecting nut yield this season. Tests show a 10% chance of widespread infestation, 30% chance of moderate, and 60% chance of minor infestation. While trees can withstand some infestation, the chances of high yield given widespread, moderate, and minor infestation are 40%, 60%, and 80% respectively. For significant profit, the probability of high yield needs to be over 80%, so it is unlikely the farm will achieve that this season.

1. A macadamia farm in central Queensland has run into some production issues this farming
season. It appears there is a pest infestation issue affecting the yield of macadamia nuts. They
have undertaken tests to determine what the potential short term implications might be. The
chance that there is a widespread pest infestation problem is 10%, the chancr of a moderate pest
infestation is 30% and the chance of a minor pest infestation is 60%. Despite the pest infestation,
macadamia trees are resilient and can withstand a certain level of infestation. For example, the
chance of a high yield of macadamia nuts given a widespread pest infestation is 40%,60% if a
moderate infestation and 80% if there is a minor infestation. In order to recoup the costs
associated with producing macadamia nuts and have a significant profit, the probablity of a high
yield of macadamia nuts must be over 80%. Will they be able to achieve that this season?