14. Calculate and interpret probabilities for probability distributions. A. GE manufactures a decorative clear (SO-watt light bulb that it advertises will last 1500 hours. Suppose the lifetimes of the bulbs are approximately normally distributed, with a mean of 1550 hours and a standard deviation of 57 hours. a. What percentage of the light bulbs will last less than the advertised time? b. From these light bulbs, GE quality control randomly selects 10 bulbs. What is the probability that the mean lifetime for the 10 bulbs will be at most 1500 hours (the advertised time)? B. According to the US National Center for Health Statistics, there is a 98% chance that a 20-year-old male will survive to the age of 30. In a random sample of 250 20-year-old males, find the probability that at least 245 survive to the age of 30. Would it be unusual for at least 245 to survive to the age of 30? C. A particular Cicada species has a mean lifespan of 16 years with a standard deviation of 1.2 years. A random sample of 50 of these herbivorous bugs was kept in a museum and they had a mean lifespan of 17 years. Find the probability that a random sample of this cicada species would have a mean lifespan of 17 or more years. Has something unusual occurred