Sonysung is considering marketing a new model of television. In the past, $40\%$ of the televisions

introduced by the company have been successful and $60\%$ have been unsuccessful. Before introducing the

television to the marketplace, the marketing research department conducts an extensive study and releases

a report, either favorable or unfavorable. In the past, $80\%$ of the successful televisions had received a

favorable market research report and $30\%$ of the unsuccessful televisions had received a favorable report.

For the new model of television under construction, the market research department has issued a

favorable report. What is the probability that the television will be successful?

a$.$ Produce a probability tree on the above question.

b$.$ Use the tabular approach in Excel to answer the above question