STAT
Midterm 2A

# Show all steps even those done on a calculator we

• Notes
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SHOW ALL STEPS, EVEN THOSE DONE ON A CALCULATOR. WE WILL TAKE OFF FOR MISSING/INCORRECT WORK. WE WILL TAKE OFF FOR MISSING/INCORRECT UNITS. PUT YOUR FINAL ANSWER IN THE BLANKS WHEN PROVIDED. THIS IS THE ANSWER WE WILL GRADE. 5

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21. Suppose 30% of OSU students are in favor of having casinos in Ohio. Two OSU students are selected at random. Write down the sample space for this problem, and find the probability of each outcome in the sample space. Show work and show which probability goes with which outcome. SAMPLE SPACE: PROBABILITIES: For Questions 22-24: It rains 20% of the time where Ellen lives. When it rains, Ellen goes hiking 30% of the time. When it doesn’t rain Ellen goes hiking 90% of the time. 22. What percentage of the time does Ellen go hiking? ANS___________ 23. Ellen is hiking today. What’s the chance it’s raining? ANS____________ 24. What percentage of the time is it raining and Ellen is hiking? ANS____________ 6
25. Suppose opinion (Yes, No) is independent of gender (Male, Female). Using this information, and the numbers provided in the table, fill in the four cells of the table with the appropriate numbers. Yes No Male .60 Female .40 .30 .70 1.00 For Questions 26-27: Using the following table. Yes No Males .1 .2 Females .3 .4 FOR EACH PROBLEM WRITE DOWN THE PROBABILIY SYMBOLS FOR WHAT YOU ARE TRYING TO FIND, THEN ANSWER THE QUESTION. THE SYMBOLS ARE PART OF YOUR GRADE. 26a. What percentage of all the males said yes? ANS_________ 26b. What percentage of the entire group are males who said yes? ANS_________ 7

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27a. What is the overall percentage of males? ANS__________ 27b. What percentage of the yes voters are male? ANS________ For Questions 28-30: Bob’s diner can legally seat 100 people, however there are more than 100 customers in the diner 5% of the time. The chance that the fire marshal makes a random visit to Bob’s diner is 2%. If the fire marshal finds more than 100 customers in the diner, Bob gets a \$1,000 fine.
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