3. A fair three-sided die and a fair six-sided die are rolled simultaneosly, what is the probabiliy of observing a total of at least 8 dots?
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- Two six-sided dice are rolled. What is the size of the sample space that corresponds to the event that both dice are even?A coin is flipped once. If the result is a heads, the coin is flipped 2 more times, and the result (heads or tails) of each successive flip is noted. If the result is a tails, the coin is flipped 4 more times and the result of each successive flip is noted. How many possible outcomes are in the sample space of this experiment?In the rolling of two fair dice calculate the following (refer to image).
- I. There are 8 different fruity flavors in Brach's Sweet and Sour Variety Mix. The manufacturer says that a package contains about 280 pieces. You bought a bag to give out for Halloween. a) Your favorite flavor is LemonHead – how many LemonHead pieces do you expect to find in this bag? b) If it turns out that there 40 LemonHeads in the bag do you think the difference between what occurred and what you would expect by chance is statistically significant? Explain. c) If it turns out that there are 70 LemonHeads in the bag do you the difference between what occurred and what you would expect by chance is statistically significant? Explain.12. A biased coin with probability of heads p = 0.6 is thrown 10 times. Find the variance of the number of heads. Give the answer as an irreducible fraction p/q with integer p and q. Answer. enter number enter numberThe sales of a coffee shop in a commercial district is very difficult to predict. The total revenue of the shop can be very good one day and bad the other day. The revenue can be classified into three different categories as High, Medium or Low a) Explain how we can see the revenue of the coffee shop as a "Random Experiment" b) Write down the sample space of this random experiment. c) Write down the event that revenue is high or medium using set notation. Write down a new event that is disjoint (mutually excusive) to the previous event. d) What would be the appropriate observation points (epochs) of the revenue? Explain.
- 1. Trixy is doing her experiment for her project. The experiment consists of counting the number of times that it rains and recording in inches the total rainfall next August in Boston, Massachusetts. Is this a random experiment? If so, find the sample space.a) Market research has shown that 60% of persons who are introduced to a certain product actually buy the product. A random sample of 15 persons were introduced to the product.3. An experiment consists of first rolling a die and then tossing a coin a) List the sample space. You may use a tree diagram or a table to help you list all possible outcomes. b) Find the probability of rolling an even and then tossing tails.
