Ataxia-telangiectasia (A-T) is a neurological disorder that weakens immune systems and causes premature aging. When both members of a couple carry the A-T gene, each child they have has a 25% chance of having the disorder, a 50% chance of being a carrier, and a 25% chance of being unaffected (i.e., not a carrier and not having the disorder). Suppose that such a couple has five children. Let X represent the number of children that have the disorder. Then X ~ B (5, 0.25) (that is, X has a binomial distribution with n = 5 and p = 0.25). Using the above data answer the following questions in the answer boxes below: 1. List the possible values of X. Report your answer below: 2. Calculate the probability that exactly two of the children have the disorder. [Hint: You may use the probability mass function for X . Report your answer below upto four decimal places and just answer the numeric value, do not use any symbol like "=" in front of the answer): 3. Calculate the probability that at least one of the children has the disorder. [Hint: You may use the probability mass function for X Report your answer below upto four decimal places and just answer the numeric value, do not use any symbol like "=" in front of the answer): 4. Calculate the probability that either all of the children or none of the children have the disorder. [Hint: You may use the probability mass function for X Report your answer below upto four decimal places and just answer the numeric value, do not use any symbol like "=" in front of the answer)