MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions
Problem
During a quality check, a factory examined 250 electric bulbs and placed each bulb into exactly one of the following mutually exclusive categories:
• Filament broken – 18
• Glass cracked – 12
• Base loose – 10
• No defect – (to be found)
Using the data above, answer the questions below:
(i) Compute the number of bulbs that had no defect.
(ii) What is the probability that a randomly selected bulb from this batch is defective?
(iii) Calculate the probability that the selected bulb has either Glass cracked or Base loose.
(iv) Verify that the probabilities of the events in the four categories add up to 1. State the probability property you have used.