Two events are mutually exclusive O if their intersection is 1. if they have no sample outcomes in common. if most of their sample outcomes are in common.
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- 3 dices are rolled together. If X is the random variable for the sum of the results of the 3 dices, how many possible values does the random variable X contain?Assuming that the population is half male and half female, what is the probability that a random group of 11 people will contain 5 or more males?A couple plans to have four children. The father notes that the sample space for the number of girls the couple can have is 0, 1, 2, 3, and 4. He goes on to say that since there are five outcomes in the sample space, and since each child is eaually iikely to be a boy or girl, all five outcomes must be equally ieiy. Therefore, the probability of all four children being girls is 1/5. Explain the flaw in his reasoning. The argument is only correct if each child is equally likely to be a boy or girl. O The outcomes are not equally likely. O The sample space has less than 5 possible outcomes. O The sample space has more than 5 possible outcomes.
- students were assigned a quiz that contains 7 independent multiple-choice problems. Each problem was worth 1 point and has 4 choices, where only one of them is correct. A pirate, who does not understand probability and statistics, disguises himself as a clever student and tried to pass one of the quizzes. Unlike our students, he is not able to solve the problems and, thus, decides to randomly choose an answer for each problem. Let X be a random variable representing the score of the pirate on the FIRST problem of the quiz. What distribution does X follow?A couple has 3 children. Write out the sample space of genders for their children in order of birth, and find the probability that they have exactly 2 boys. (Assume that boys and girls are equallylikely.)A bar offers alcoholic and non-alcoholic beverages. They have 12 alcoholic beverages that cost $10 or more, and 5 alcoholic beverages that cost less than $10. They also have 5 non-alcoholic beverages that cost $10 or more, and 10 non-alcoholic beverages that cost less than $10. Suppose I choose a drink at random from the menu. What is the chance that it is alcoholic, given that costs $10 or more? Choose the answer that is closest. Group of answer choices 70.6% 33.33% 37.5% 20.5%
- If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?Answer ASAP, I'll upvote. Thanks. The championship series of a particular team sport requires that a team wins 3 games out of 5 possible games be declared the champion. The series ends once a team has won 3 games. Suppose that teams X and Y face each other in the championship games and that team X has 65% probability of winning a game over team Y. What is the probability that team X wins the championship in 4 games?If X is a random variable, so is ∛X. Explain why .
- The mean of a random variable will be negative if all possible values of the random variable negative. O True O False. A swimmer, Sarah, hopes to compete in an upcoming meet. There are 8 team members eligible for the breaststroke event at the meet, but only 1 team member will be randomly selected to compete in that event. There are 4 team members eligible for the butterfly event at the meet, but only 1 team member will be randomly selected to compete in that event. Sarah is eligible to compete in both events. What is her chance of being selected for at least one of the two events? Select one: a. 1 in 4 b. 1 in 8 c. 3 in 8 d. 3 in 12If two events are mutually exclusive why is P(A and B)=0?