Please solve the questions below to your best and I will also make sure we are both satisfied if I am satisfied. I really need help. The textbook is provided below but solve it with what's easier for you ( excel, desmos, etc) and everything is not in the textbook!

Link to textbook if needed: https://drive.google.com/file/d/1HLjRPFT329qKZ-S8h0fra_KsEJYThs8-/view?usp=sharing

Questions:

Question Consider the following probability distribution for a random variable X. X 3 5 12 p(x) 0.13 0.54? where the question mark represents a missing probability. Find the missing probability, then find the variance of the random variable X. What is the variance of X? (Give your response to at least 3 decimal places. Include only the numeric response, and not any extra characters or symbols.) Your Answer: Your AnswerQuestion Suppose we have a sample of 4 observations. All of the values lie between 0 and 30 (inclusive, and repeats are allowed). What is the largest possible value of the variance? [Give your response to at least 3 decimal places. Give only the number, and do not include any extra characters or symbols] Your Answer: [_l Your Answer Question An urn contains 9 red balls and 7 green balls. The balls are mixed up, and 3 balls are selected randomly and without replacement. If at least one of these 3 balls is red, what is the probability that exactly 2 are red? Your Answer: Your