Page 2 of 6 1. Trisomy-21 (aka Down Syndrome) is a genetic condition caused by an abnormal cell division involving chromosome 21. Below we have a two-way table of data comparing the age of the mother and whether the baby has Trisomy-21. (Note: This data is made-up but it is meant to be roughly similar to real-world proportions). Under-40 Over-10 | Total Infant with down syndrome 20 15 35 Infant without down syndrome 3880 470 4350 Total 3900 485 4385 For each of the problems below make sure to include proper probability notation, the ratio used in the calculation, and the final answer in decimal form. (a) (5 points) If we randomly select a mother, what is the likelihood she had a child with Trisomy-21 OR she is over-40? (b) (5 points) If we randomly select a mother, what is the likelihood she had a child with Trisomy-21 AND she is over-40?(b) (5 points) If we randomly select a mother, what is the likelihood she had a child with Trisomy-21 AND she is over-40? (c) (5 points) If we randomly select a mother over-10, what is the likelihood she had a child with Trisomy-217 (d) (5 points) Is the mother being over-10 independent or dependent of the child having Trisomy-217 (Hint: Use answers from above.) hp