Consider two coins one fair and one unfair The probability o

Consider two coins, one fair and one unfair. The probability of getting heads on a given flip of the unfair coin is 0.75. You are given one of these coins and will gather information about your coin by flipping it. Based on your flip results, you will infer which of the coins you were given. At the end of the question, you will find out which coin you were given. hat is the probability of obtaining exactly as many heads as you just obtained if your coin is the unfair coin? 0.7769 O 0.0689 O 0.9453 O 0.0291 What is the probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin? 0.9453 0.0806 0.5234 0.7769 When you compare these probabilities, it appears more likely that you were given the coin. Compared with your inferences after 10 flips of your coin, you can be confident in this inference. If you flip a fair coin 30 times, what is the probability of obtaining as many heads as you did or more? 0.0321 Q 0.9543 0.7769 0.1808 The probability you just found is a measure of how unusual your results are if your coin is the fair coin. A low probability (0.10 or less) indicates that your results are so unusual that it is unlikely you have the fair coin thus, you can infer that your coin is unfair. On the basis of this probability, you nfer that your coin is unfair. Compared with your inferences after 10 flips of your coin, you can be confident in this inference.

Solution

1) 0.9453

2)0.7769

3)0.9543