Question

Seventeen individuals are scheduled to take a driving test at a particular DMV office on a certain day, nine of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time.
(a) What kind of a distribution does X have (name and values of al parameters)?
17 hx;6, 9, 17) O h(x; 6,? 17 bx; 6, 9,17) (x; 6, 9, 17) 17

Answer 1

Answer:

We conclude that it is the hypergeometric distribution:

h(x; 6, 9, 17).

Step-by-step explanation:

Definition: In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of k successes in n draws, without replacement, from a finite population of size N that contains exactly K objects with that feature, where in each draw is either a success or a failure.

From task we know that: Seventeen individuals are scheduled to take a driving test at a particular DMV office on a certain day, nine of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time.

We conclude that it is the hypergeometric distribution:

h(x; 6, 9, 17).