Question: Cool You Company makes electric fans to cool you! At least, that is what the ads say. Cool You wants to guarantee the fans, but the powers that be do not want to replace any more than 4% of them under the full-replacement guarantee policy. Research has shown that the fans have a normally distributed lifespan with mean p = 44 months and standard deviation a = 9 months. For how long should the company guarantee the fans (to the nearest month)?

Step 1 - Draw and properly label and shade the normal distribution

Step2 — find the proper z score(s) for the area

Step 3 — Convert z back to an x value

Step 4 — Write a sentence in terms of the problem that contains the value