We know that 25% of dogs of a certain breed develop cancer between ages 5 to 10. We randomly select 80 poppies from that breed and keep track of their health conditions throughout their lives. a. (10 pts.) Check all required conditions and decide whether we can approximate the distributic of the proportion of the poppies that develop cancer between ages 5 to 10 with a normal distribution. b. (5 pts.) Specify the normal that can be used to approximate the distribution of the proportion of the poppies that develop cancer between ages 5 to 10? c. (5 pts.) Use the normal distribution you obtained in Part b, and calculate the that less than 35% of the randomly selected poppies will develop cancer between ages 5 to 10. d. (10 pts.) Use the normal distribution you obtained in Part b, and calculate the probability that 20 to 25 of the randomly selected poppies will develop cancer between ages 5 to 10. is the