Question

Hyper geometric probability distribution

a) How can you recognize it? 3 ways

b) Why is the following example hyper geometric?

Electric fuses produced by Ontario Electric are pack- aged in boxes of 12 units each. Suppose an inspector randomly selects three of the 12 fuses in a box for testing. If the box contains exactly five defective fuses, what is the probability that the inspector will find exactly one of the three fuses defective?

Answer 1

Hypergeometric probability distribution is recognized by taking samples from two groups, being concerned with a specific group of interest, sampling without replacement, having non-independent picks, and not dealing with Bernoulli trials.

Step-by-step explanation:

A hypergeometric experiment is a statistical experiment with the following properties:

1. You take samples from two groups
2. You are concerned with a group of interest, called the first group
3. You sample without replacement from the combined groups
4. Each pick is not independent, since sampling is without replacement
5. You are not dealing with Bernoulli trials

The outcomes of a hypergeometric experiment fit a hypergeometric probability distribution. The random variable X = the number of items from the group of interest. The distribution of X is denoted X ~ H(r, b, n), where r = the size of the group of interest (first group), b = the size of the second group, and n = the size of the chosen sample. It follows that n ≤ r + b.

To recognize the hypergeometric probability distribution, you can look for these characteristics and apply it appropriately to a given scenario.