Management at a local company asked employees if they were interested in obtaining job training. Responses are summarized by employment type (salaried or hourly), and whether the employee is interested (yes or no) in job training. Salaried Hourly (next > total)
Yes 18 89 107
No 44 71 115
Total 62 160 222
Compute the probability that an employee is salaried. Give your answer as a decimal, precise to at least three decimal places.
P(salaried)=P(salaried)=
Next, compute the probability that an employee who is interested in training is salaried. Gives your answer as a decimal, precise to at least three decimal places.
P(salaried ∣∣ yes)P(salaried | yes) =
Finally, use the results from the two preceeding calculations to determine whether or not employment type and interest in training are independent.
a. Yes, the two events are independent.
b. No, the two events are not independent.