Question

Eagle Fitness, Inc. is testing the quality of its new electronic fitness band called the Talon. Eagle has received a shipment of 15 fitness bands that contains 3 defective fitness bands and 12 non defective fitness bands. Suppose Eagle's quality control manager selects four fitness bands at random. from the 15 fitness bands and inspects them. Let the random variable X denote the number non defective fitness bands in the random sample.

Construct the probability distribution of X (PLEASE SHOW THE FORMULA AND EQUATION FOR EACH ITEM. PLEASE NO EXCEL! I NEED TO LEARN HOW TO DO THIS BY HAND WITH JUST A CALCULATOR! AGAIN PLEASE NO EXCEL)

What is the expected value of X?

What is the variance of X

Answer 1