3. Jobs-for-All

The owner of Jobs-for-All, a privately run job readiness program, publicly claims that anyone who has successfully completed this program will have a 90% chance of finding full-time employment within a month after graduating.

To investigate the owner's claim, a consumer protection agency contacted three people, at random, who had successfully completed Jobs-for-All. The agency was careful to ensure that these three people were contacted one month after graduating from the program. Assuming that the owner's claim is accurate, compute the following probabilities.

a.What is the probability that all three people contacted obtained full-time jobs? [4 marks]

b.What is the probability that none of the three people contacted obtained full-time jobs. [4marks]

c.What is the probability that at least one of the three people contacted obtained full-time work? [4marks]