Hour: Date: Name : Elliana Knudsen Lesson 5.3: Day 1: Conditional Probability and Independence Independent: when knowing an event has Big Ideas: Conditional of has not occured does not effect the Probability P ( */B ) = P( AnB) ( and ) probability of the second event if ... P ( B ) P ( ) = P(A(B) = P(AlBC) then A and B are independent. Check Your Understanding: Yellowstone National Park surveyed a random sample of 1526 winter visitors to the park. They asked each person whether he or she owned, rented, or had never used a snowmobile. Respondents were also asked whether they belonged to an environmental organization (like the Sierra Club). The two way table summarizes the survey responses Environmental club No Yes Total Never used 445 Snowmobile 212 657 experience Renter 497 77 574 Owner 279 16 295 Total 1221 305 1526 Suppose we randomly select one of the survey respondents. Define events E: environmental club member, S: snowmobile owner, and N: never used. 1. Find P(N | E). Interpret this value in context. 445/ 657 0. 47 2. Given that the chosen person is not a snowmobile owner, what's the probability that she or he is an environmental club member? Write your answer as a probability statement using correct symbols for the events. 305 289 / 1526 c . 189 - 16 289 3. Are the events "Snowmobile owner" and "Environmental club member" independent? Explain. They are not independent because the probability percentage 18 not the same. The StatsMedic