3. A researcher is conducting a survey about the cellphones used by 50 employee represents the number of users of Brand X, what are the possible values of X?

The math professor gave the class a set of 12 review problems and toldthem that the midterm exam would consist of 6 of the 12 problems selected at random.If Mela memorized the solutions to 8 of the 12 problems but could not solve any ofthe other 4 problems, what is the probability that she got 4 or more problems correctin the exam?

A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble from the bag. If you get an orange marble or yellow marble, you win a prize. Based on the scenario, answer the following question: Is it more likely that players will win or lose playing the game?

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.

2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:

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?

Four roads lead away from the county jail. A prisoner has escaped from the jail and selects a road at random. If road I is selected, the probability of escaping is 1/8; if road II is selected, the probability of success is 16, if road II is selected, the probability of escaping is % and if road IV is selected, the probability of success is 9/10. D What is the probability that the prisoner will succeod in escaping? If the prisoner succeeds, what is the probability that the prisoner escaped by using road IV? By using road I?

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?

A box contains 20 marbles: 5 blue, 10 red, and 5 orange. Suppose we take a sample of size 5. What is the chance that we see 1 blue, 2 red, and 2 orange?