CE 3402-A national advertising company is considering

Problem 4A national advertising company is considering the installation of 250 new “high-definition digital (led) billboards” around the United States. This is an expensive and politically- charged endeavor. These planned structures are widely scattered across the country, so the wind speed at any one structure is statistically independent10 from the wind speed at any of the other structures.Each structure is designed for the 100-year peak wind speed for its particular site. If the wind speed exceeds the 100-year peak wind speed the impacted structure will fail13.What is the probability that at least one of these 250 new structures will fail in the first year of service due to wind speeds exceeding the 100-year peak wind speed?What is the expected number of these structures that would last for 5 years, if the only cause of failure or removal was excessive wind speed?Let Y be the random variable representing the number of years till the FIRST failure of at least one of these 250 structures. What is the expected value and standard deviation of Y? (Hint: Look up the “Geometric Distribution”, and the relationship between the Geometric Distribution and the Binomial Distribution.)Doesitmakesensetodesignastructurefora100-yearwindspeed,whentheanticipated life of the structure as a business asset is 5 years? Give arguments on both sides of this issue.