Suppose you flip three fair, mutually independent coins. Define the following events: Let A be the event that the first coin is heads. Let B be the event that the second coin is heads. Let C be the event that the third coin is heads. Let D be the event that an even number of coins are heads. Determine the probability space for this experiment (build the probability tree). Using the probability tree, find the probability of each of the...
3. An urn contains 2 black, 2 red, and 4 white marbles. You draw a marble at random. a) What is the sample space? b) What are all events (power Class)? c) What is the probability of each event? 4. A coin is tossed ten times and number of heads is noted. a) What is the probability that the number of heads is four? b) What is the probability of at least seven heads come? 6. X is a Binomial...
2- (10 pts. Choose the correct answer (Write down the correct answer letter AND value at your answer booklet IF YOU CHOOSE "None of the above", WRITE DOWN THE CORRECT ANSWER: a. I have a bag with 3 coins in it. One of them is a fair coin, but the others are biased coins. When flipped, the three coins come up heads with probability 0.5, 0.6, 0.1, respectively. Suppose you pick one of these three coins uniformly at random and...