Can someone help me figure out these problems (1-4) and what formulas to use? I am a little lost and confused

AutoSave . Off) . U = = HHE 526 - Homework Assignment 3 - Protected View - Saved to this PC Search (Alt+Q) Grace Gleason GG X File Home Insert Draw Design Layout References Mailings Review View Help Share Comments i PROTECTED VIEW Be careful-files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. Enable Editing x 1. Suppose 4 students with influenza and 10 eligible controls are enrolled in the University of Alabama. You plan to use a matched pair design where an order is essential to select your controls. How many eligible ways are there of selecting 4 control? (2pts) 2. Suppose you are designing an unmatched study in which the investigator will interview all cases and control. You have six control subjects and plan to recruit only 3 for your research. Compute the number of ways you select 3 out of 6 controls without respect to order. (2pts) 3. Given n (number of trials) = 12, number of outcomes (k) = 3, and the probability of any outcome (p) as 0.3. Using the exact binomial probability table (appendix table 1 of the textbook, Rosner, 8th edition), what is the appropriate probability? (2pts) 4. Given a binomial distribution with n= 4, p= 0.8 and k = 2. Compute the probability mass function of X. where X is the number of successes in a trial. (2pts) 5. Using Table 3 of the appendix in Fundamental of Biostatistics (Rosner, 8th edition). Page 1 of 2 270 words Display Settings D Focus Le + 100% W 57'F Sunny ~6 718 11:01 AM 2/14/2022