I will not accept Plagiarism. I have attached the instructions for my assignment

I will not accept Plagiarism. I have attached the instructions for my assignment. Consider the following data for a group of 2000 women. Of these women, 16 are known to have breast cancer. All 2000 undergo the same test to determine whether or not they have breast cancer, and 154 test positive. 14 of the 16 that have breast cancer test positive and 140 of those that do not have breast cancer test positive. 1. Based on the data presented above, do you think the test for breast cancer is effective at identifying women who have breast cancer? Why or why not? 2. Organize the data using the table below. 3. Find the following probabilities: a. The probability that a woman tests positive given that she has breast cancer. b. The probability that a woman tests positive given that she does not have breast cancer 4. Determine whether or not the events of having breast cancer and testing positive for breast cancer are independent. Show all relevant calculations.