The following contingency table summarizes the school enrollment by level and type: Public (T1) Elementary School (L1) 380 Private (T2) 78 Middle School (L2) 179 53 High School (L3) 197 96 Total a. For a randomly selected student, describe the following in words: o T1 is Select an answer P(T1) is Select an answer b. Find the following probabilities: (Round the answers to 4 decimal places) i. P(L1) = ii. P(T2)= iii. P(L1 and T2) iv. P(L2 or T2) v. P(L2 | T1) = c. Answer the following questions: i. Are L2 and T1 mutually exclusive? Select an answer Select an answer ii. Are L2 and T1 independent? Select an answer Explain. Select an answer iii. Are L3 and L1 mutually exclusive? Select an answer Select an answer iv. Are L3 and L1 independent? Select an answer Explain. Select an answer Explain. Explain. Total The following contingency table summarizes the classification of students by weight and gender: Male (G1) 76 Obese (W1) Normal (W2) 31 Underweight (W3) 17 Total Female (G2) 75 51 34 Total a. For a randomly selected student, describe the following in words: o W1 is Select an answer P(W1) is Select an answer b. Find the following probabilities: (Round the answers to 4 decimal places) i. P(W3) ii. P(G1) = iii. P(W2 and G2) iv. P(W1 or G1) v. P(W3 | G1) =| c. Answer the following questions: i. Are W1 and G1 mutually exclusive? [Select an answer Select an answer ii. Are W1 and G1 independent? | Select an answer Explain. Select an answer Explain. iii. Are W3 and W2 mutually exclusive? Select an answer Explain. Select an answer iv. Are W3 and W2 independent? Select an answer Explain. Select an answer A and B are events such that P(A) = 0.68 and P(B) = 0.24. Find the following: 1. P(A and B) 2. P(A or B) 3. P(A|B) Assuming that events A and B are: a. Mutually exclusive b. Independent Write the answer in the following table: (Round the answers to 2 decimal places) a. Mutually exclusive b. Independent 1. P(A and B) 2. P(A or B) 3. P(A|B)