4 14 pts The life expectancy of a microwave oven is normally distributed with an average of 16 7 years and a standard deviation of 3 1 years Round all probabilities to 4 decimal places a Sketch and label a complete normal distribution for this situation include values of 30 30 16 7 3 3 1 16 7 9 3 7 4 years years H 20 16 7 2 3 1 16 7 6 2 10 2 H 0 16 7 3 1 13 6 years H 16 7 years H 0 16 7 3 1 19 8 8 years H 20 16 7 2 3 1 16 7 6 2 22 9 years H 30 16 7 3 3 1 16 7 9 3 26 0 years 7 4 center of distribution 10 5 13 6 16 7 22 9 b Find the probability of buying a microwave that lasts for more than 24 years Label this value shade in this area in the distribution above to show the connection to the probability you calculate P x 24 P z 2 35 1 P Z 2 35 0 0094 c Find the probability of buying a microwave that lasts for less than 13 years