Classify the following random variable according to whether it is discrete or continuous.
The height of a player on a basketball team
A) discrete B) continuous
Q. 2Suppose the probability of an athlete taking a certain illegal steroid is 10. A test has been developed to detect this type of steroid and will yield either a positive or negative result.
Given that the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid?
A) 0.9325 B) 0.9552 C) 0.0995 D) 0.9928
Q. 3Suppose six people apply for two managerial positions at a company two men and four women.
Because the candidates are all considered equally qualified for the position, the company decides to randomly select the two candidates who will get the positions. How many different ways can two people be selected from the six applicants?
A) 360 ways B) 30 ways C) 15 ways D) 720 ways
Q. 4Suppose you teach a class of twelve students that you wish to assign to three groups of four students each. In how many different ways can groups be made?
A) 369,600 B) 34,650 C) 479,000,600 D) 1320
Q. 5A group of 12 people is traveling in three vehicles. If 4 people ride in each vehicle, in how many different ways can the people be assigned to the vehicles?
A) 34,650 B) 11,880 C) 495 D) 11,550
Q. 6You have 4 tasks to complete and 10 people, including yourself, to complete the tasks. In how many ways can you assign 4 people to the first task, 3 people to the second task, 2 people to the third task, and 1 person to the fourth task?
A) 151,200 B) 5040 C) 12,600 D) 1024
Q. 7A manager of a road construction company must send one engineer to each of three different job sites to meet with government inspectors. There are 8 engineers available.
How many different ways can the manager send one engineer to each of the job sites? (Assume that sending a particular engineer to job site 1 is different than sending the same engineer to either job site 2 or 3.)
A) 6 B) 6720 C) 336 D) 56
Q. 8A popular restaurant occasionally offers a three-course meal for a fixed price. The customer chooses one appetizer, one entree, and one dessert from a special menu.
There are four choices for the appetizer, five choices for the entree, and three choices for the dessert. How many different ways can a customer choose the three courses?
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