Score: 5/7 5/6 answered . Question 5 Questions 1-5: We know that the probability of heads is 0.5 for a fair coin, but can this probability be manipulated? Researchers at the University of British Columbia conducted a study to find out. They gave participants instructions about how to manipulate a coin toss and a few minutes to practice the technique. Then participants were tested to see whether they were able to increase their probability of flipping heads. Let X = the number of times that a fair coin lands on heads out of 10 flips. The graph below represents the probability distribution for X. This model was constructed theoretically using probability rules. Note: Landing on heads is considered a "success" in this chance experiment. 0.25 0.2 0.1 Probability 0.1 0.05 10 Number of Successes If a participant in the coin-flipping study got 6 heads out of 10 flips, would you be convinced that they had learned how to manipulate the probability of heads? Fill in the blanks. V ? ecause getting Select an answer v| heads out of 10 flips is |Select an answer , even if the Yes No canculator Submit QuestionQuestions 15: We know that the probability of heads is 0.5 for a fair coin, but can this probability be manipulated? Researchers at the University of British Columbia conducted a study to nd out. They gave participants instructions about how to manipulate a coin toss and a few minutes to practice the technique. Then participants were tested to see whether they were able to increase their probability of flipping heads. Let X = the number of times that a m coin lands on heads out of 10 ips. The graph below represents the probability distribution for X. This model was constructed theoretically using probability rules. Note: Landing on heads is considered a \"success" in this chance experiment. [1.3.5 0.2 r: U. Probability .0 _. ELIE D l 2 3 4 S {i I? 8 9 10 Number of Successes If a participant in the coinflipping study got 6 heads out of 10 flips, would you be convinced that they had learned how to manipulate the probability of heads? Fill in the blanks. -, because gettin '/ Select an answer :ads out of 10 ips is , even if the coin is fair. 6 6 or more heads E calCUlator 6 or less heads Submit Question . Question 5 Questions 1-5: We know that the probability of heads is 0.5 for a fair coin, but can this probability be manipulated? Researchers at the University of British Columbia conducted a study to find out. They gave participants instructions about how to manipulate a coin toss and a few minutes to practice the technique. Then participants were tested to see whether they were able to increase their probability of flipping heads. Let X = the number of times that a fair coin lands on heads out of 10 flips. The graph below represents the probability distribution for X. This model was constructed theoretically using probability rules. Note: Landing on heads is considered a "success" in this chance experiment. 0.25 0.2 0.15 Probability 0. 0.05 10 Number of Successes If a participant in the coin-flipping study got 6 heads out of 10 flips, would you be convinced that they had learned how to manipulate the probability of heads? Fill in the blanks. ? , because getting Select an answer | heads out of 10 flips i v Select an answer ven if the coin is fair. common guaranteed Calculator uncommon Submit QuestionSTAT_8A_P review Score: 2/6 37 answered I Question 1 v A probability model includes all possible outcomes of a chance experiment and the probabilities associated with those outcomes. Imagine a fair spinner with 3 equally-sized sections: 1 section is red,1 section is blue, and 1 section is yellow. If we spin the spinner, all 3 outcomes are equally likely, so the probability of each outcome is one- third. The following table displays the probability model. Outcome Prohibility Red Yellow Blue Let's consider another chance experiment: rolling a fair, 6-sided die. Fill in the following table to create a probability model for the outcomes that may occur when you roll a fair, 6sided die. Represent the probabilities using fractions. Outcome Probability Hint Dice have 6 sides that are labeled with the numbers 16, and since the die is fair, each of these outcomes is equally likely. E Calculator Submit Question STAT_8A_P review Score: 2/6 3;? answered > Score on last try: 0 of1 pts. See Details for more. > Next question You can retry this question below Ifyou roll a fair die, what is the probability that the die will land on a number that is less than or equal to 2? Write your answer as a simplied fraction. Use the probability rules you learned in InClass Activity 7.3. We can rephrase the question by asking, 'What is the probability that the die will land on 1 or 2?' l x 2 E Calculator Submit Question STAT_8A_P review Score: 2/6 37 answered 0 Question 4 V Now let's consider another chance experiment: flipping a fair coin. Fill in the following table to create a probability model for the outcomes that may occur when you flip a fair coin. Represent the probabilities using decimals. There are two possible ways that a coin can land. Since the coin is 'fair,' these two outcomes are equally likely. E Calculator Submit Question STAT_8A_Preview Score: 2/6 3/7 answered . Question 6 Looking ahead Sometimes we carry out a chance experiment multiple times and count the number of "successes." To describe this scenario, we could use a probability distribution, which lists all possible values of a random variable and the probabilities associated with those values. Suppose we flip a coin twice. The following is a complete the list of possible values: Heads on the first flip and Heads on the second flip . Heads on the first flip and Tails on the second flip . Tails on the first flip and Heads on the second flip . Tails on the first flip and Tails on the second flip Fill in the following table to complete the probability distribution for the number of heads that would occur in 2 coin flips. Number of Heads Probability 0 = 0.25 N Hint There are 4 possible outcomes for a set of 2 coin flips, and only one of them results in 0 heads. That is why the probability of getting 0 heads is one-fourth. Calculator Submit Question0 Question 5 v Questions 15: We know that the probability of heads is 0.5 for a fair coinr but can this probability be manipulated? Researchers at the University of British Columbia conducted a study to nd out. They gave participants instructions about how to manipulate a coin toss and a few minutes to practice the technique. Then participants we re tested to see whether they were able to increase their probability of flipping heads. Let X = the number of times that a m coin lands on heads out of 10 ips. The graph below represents the probability distribution for X. This model was constructed theoretically using probability rules. Note: Landing on heads is considered a \"success" in this chance experiment. [2.35 0.2 r: U' Probability 3-3 _1 [LOB Number of Successes If a participant in the coinflipping study got 6 heads out of 10 flips, would you be convinced that they had learned how to manipulate the probability of heads? Fill in the blanks. , because getting heads out of 10 ips is , even if the coin is fair. E Calculator Submit