Q. A firm found that 85% of newly hired people met job-related expectations, while 15% did

not. Of those that met expectations, 90% had more than 3 years of experience, while 40% of

those who did not meet expectations had more than 3 years of experience. In your analysis

of this situation below use the notation E to represent the event that an employee met jobrelated expectations and S to represent the event that the person had more than 3 years of experience.

i. Determine the probability that a newly hired person does not have more than 3 years of

experience given they met expectations, that isP(ScE).

ii. Represent the situation described as a probability tree with outcomes, marginal

probabilities, conditional probabilities and joint probabilities labelled.