(10 points) 5. The Philadelphia Zoo reports that the life span of the Galapagos tortoise follows a normal distribution with a mean of 100 years and a standard deviation of 15 years. a) Find the probability that a randomly selected Galapagos tortoise will live between 90 and 132 The probability that b) Find the probability that a randomly selected Galapagos tortoise will live longer than 75 years. c) Find the probability that a randomly selected Galapagos tortoise will live less than 123.5 years. d) A researcher is interested in Galapagos tortoises with very short life spans. What would be the life span of a tortoise whose life span is in the lowest 6% of all life spans? e) What percentage of all Galapagos tortoises have a life span within 17 years of the mean life span? f) What percentage of all Galapagos tortoises are within 1.5 standard deviations of the mean life span