The concerns about the impact of technology on our lives are growing. There have been recent research reports about the negative impact of digital technology usage on stress, work productivity, happiness, and overall well-being. In light of these concerns, the Pew Research Center asked technology experts about their opinion on our digital life and found that 32% of the experts believe that in the future our lives will be more harmed than helped by their digital environment. In an effort to confirm these results, a local tech company decides to ask 200 randomly selected customers their opinions about their digital life.

a. What is the probability that 35 or more people from this sample are concerned about the digital environment?

b. What is the probability that 45 or more people from the sample are concerned about the digital environment?

c. If 57 people in the sample indicated that they are concerned about the digital environment, what conclusions can the tech company make?