Probability Models Quiz 9 (17 MCQs)

Quiz Instructions

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1. Suppose you buy a ticket for $ 6 out of a lottery of 1000 tickets where the prize for the one winning is to be $ 800. How much money do you take home (after paying for it)? HINT:set up a probability model.
2. A weather model predicts a 30% chance of rain each day. If it rains for 5 days in a row, should you question the model?
3. Gavin has 7 shirts, 5 pairs of pants, and 3 pairs of shoes. How many possible outcomes of 1 shirt, 1 pair of pants, and 1 pair of shoes are possible?
4. Which is the best way to simulate choosing one student out of 12 to be the class president?
5. A student group sells 500 raffle tickets for $ 2 each. At the drawing the top prize will be a gift certificate for $ 100. Second prize will be a $ 50 gift card and there will be five 3rd prizes, each a $ 20 gift card. What is the expected value of a ticket?
6. Is this a binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.
7. What part of the venn diagram does $A\cup B$
8. Ghazal is picking out a snack. She has a banana, an orange, an apple, and a pear to choose from. Which answer choice represents the sample space?
9. In a tree diagram, each branch represents:
10. A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow.
11. A restaurant recorded its daily earnings over the course of 100 days. The data was normally distributed with a mean of $ 400 and a standard deviation of $ 50.According to the Empirical Rule, how many days did the restaurant earn between $ 400 and $ 450?
12. 60% of the commercials aired on a network from 8 PM to 10 PM are 15 seconds long, 20% are 30 seconds long, and the rest are 60 seconds. What is the expected length of a commercial?
13. Draw a tree diagram in your math workbook. Then answer this question. A girls' choir is choosing a uniform for their concert. They can pick red, green, or purple sweaters, and they can pick tan, white, or black skirts. The shoes they need come in gold and black. Assuming all the colors go together, how many different combinations can the choir pick?
14. Classify:The numbers of cheeseburgers a fast-food restaurant serves each day
15. Suppose you flip a coin eight times. What is the probability that you'll get exactly three heads?
16. A model where each outcome does NOT have the same probability of occurring
17. Where do we see uneven chances in real life?