A juvenile marketer is trying to understand the age targeting of a career exploration book series. Their research has shown that children vary in their interest of the product, with some showing interest much earlier, others, show interest later. They want to know the optimal time to begin marketing the product since there are other competing products in the market place and if they do not market at the right time, they will lose sales to their competitor.

The children who have purchased the product have an average age of 7 years with a standard deviation of 1.6 years. At what age should the marketing of the product begin to make sure that over the target group, they are hitting at least 90% of the market at their preferred buying age. The age data of the purchasers follows a normal distribution, Indicate at what age of a child should the marketer begin communicating about this product to make sure that at least 90% of the children have not already made a decision about career exploration products. For full credit, show your work on another page and upload.