The Governor of Yukon state has become concerned about the possibility that large numbers of people who are drawing money from their businesses in Yukon state are secretly employed. Her assistants estimate that 41 percent of unemployed beneficiaries fall into this category, but the Governor is not convinced. She asked one of her aides to conduct a quit investigation of 12 randomly selected unemployment beneficiaries.

1. If the Governor's assistants are correct, what is the probability that more than 50% of the individuals investigated have jobs?

2. if the Governor's assistant are correct, what is the probability that two or five of the investigated individual's have jobs?

3. what is the expected number of investigated people having a job ?

A month later the Governor picks up the morning edition of the news paper and reads an expose of unemployment fraud in the Yukon state. In this article, the newspaper claims that out of every 15 unemployment beneficiaries, the probability that four or more have jobs is 0.9095 and the expected number of employment beneficiaries exceeds 7.

1. are the claims of the newspaper consistent with each other ?

2. Does the first claim conflict with the opinion of the Governor's aide?