The probability of damage to a structure due to fire, p, is estimated

The probability of damage to a structure due to fire, p, is estimated

The probability of damage to a structure due to fire, p, is estimated to be 0.05 per year. Assume the design life of the structure is 50 years.a) What is the probability that the structure will not be damaged by fire during its design life?b) What is the probability that the structure will not be damaged due to fire in the 10th year?c) If the insurance company requires that the maximum risk of damage to the structure be limited to 0.10 during its lifetime, calculate the maximum permissible value of p.