Problem:

A shipment of six laptops contains two that are slightly defective. If a retailer receives four of these laptops at random, list the elements of the sample space using the letters D and N for defective and non-defective laptops, respectively. To each sample point assign a value x of the random variable X representing the number of laptops purchased by the retailer which are non-defective. Construct a probability distribution for the random variable X by filling in the table below and draw its corresponding histogram. Steps Solution 1. Determine the sample space. Let D The sample space for this represent defective laptop and N experiment is: represent non-defective laptop. Value of the 2. Count the number of non-defective Random laptops in each outcome in the Possible Variable X sample space and assign this Outcome (number of number to this outcome. non-defective laptops 23 3. Number of Non- Probability (X() Defective Laptops (X]