(Solved): Contingency Table Use the Venn diagram to complete the contingency table. Then find the probabilit ...

Contingency Table Use the Venn diagram to complete the contingency table. Then find the probabilities. Reduce all fractions and use / for the division bar. A: Boys B: Juniors Boys Not boys Total 65 x 35 x 100 x Not Juniors x x x Total x x 580 1. What is the probability that a student selected at random is a boy? PB )= 41/70 x 2. What is the probability that a boy selected at random is a Junior? PJ|B? )= 15/82 X 3. What is the probability of randomly choosing a student who is a Junior and a boy? P(JB) = 3/28 x 4. What is the probability of randomly choosing a student who is a girl given that she is not junior? P(| G|J¹ ? ) = 45/112 x 5. What is the probability of randomly selecting a girl? P(G) = 29/70 X Please answer all parts of the question. Check Juniors 120 95 155 210