A doctor is interested in the proportion of patients which live at least 5 years after being diagnosed with stage 4 breast cancer. He randomly selects 92 patients diagnosed with stage 4 breast cancer and follows them for 5 years. Suppose the true 5 year survival rate for stage 4 breast cancer is 18%. 1. How are the collection of all sample proportions of samples of size 92 distributed? 2. What is the probability that fewer than 9% of the patients studied survived for at least 5 years? o List the =-scores needed to calculate the result. If there is more than one =-score, separate the values with a comma. o There is a chance that fewer than 9%% of the patients studied survived for at least 5 years. 3. What is the probability that more than 25%% of the patients studied survived for at least 5 years? List the =-scores needed to calculate the result. If there is more than one : score, separate the values with a comma. . There is a chance that more than 25% of the patients studied survived for at least 5 years. 4. What is the probability that between 9% and 25% of the patients studied survived for at least 5 years? List the #-scores needed to calculate the result If there is more than one s-score, separate the values with a comma. . There is a chance that between 9% and 25%% of the patients studied survived for at least 5 years