Use the following information to answer the next two questions. A survey of high students was used to estimate the percentage of students who participate in school and non-school extra-curricular activities, as well as the percentage who do not participate in any extra- curricular activities. The results of the survey are shown in the Venn diagram below. Participation in School and Non-School Extra-Curricular Activities School Non - School 20 21% 2. Determine the odds in favour of randomly selecting a high school student who participates in school extra-curricular activities. 3. Are the participation in school extra-curricular activities and the participation in non-school extra- curricular activities mutually exclusive events? Justify your answer. 4. A game has three possible outcomes: X, Y, or Z. If P(X) = 0.6 and P(Y) = 0.3, what is the probability of event Z? 15% 38% 26% Bele

You wrote 5 instead of 15

A fisher caught 3 fish with an average length of 12 inches. After catching a new fish, the average length becomes 16 inches. How big was the new fish in inches?

Test the following hypotheses for a multinomial probability distribution by using the x goodness of fit test. Ho : PA = 0.40 , PB = 0.40, and pc = 0.20 Ha : The probabilities are not PA = 0.40 , pB = 0.40 , and Pc = 0.20 A sample of size 200 yielded 60 in category A, 120 in category B, and 20 in category C. Use a = 0.01 and test to see whether the probabilities are as stated in Ho. a. Use the p-value approach. Use Table 3 of Appendix B. x² = 122.5 (to 2 decimals) The p-value is less than 0.005 Conclusion: Conclude the proportions differ from 0.4, 0.4, and 0.2. b. Repeat the test using the critical value approach. (to 3 decimals) = 9.21 (to 2 decimals)