209k views
5 votes
What is the probability that at most two pixels are defective?

1 Answer

2 votes

Final answer:

The probability statement for having at most two defective DVD players in a sample of 12 is P(X ≤ 2), where X is the number of defective players in the sample. A precise numerical probability cannot be provided without specific distributions or probabilities.

Step-by-step explanation:

To calculate the probability that at most two pixels are defective, we would typically use the binomial distribution or hypergeometric distribution, depending on whether replacements are made after each pixel is tested. However, given that no exact probabilities or distributions have been defined in the student's question, we cannot provide a numerical answer. To write the probability statement mathematically, we define the random variable X as the number of defective DVD players in the sample of 12. Since there are only 10 defective DVD players in total, X can take on the values of 0, 1, or 2. The mathematical statement of the probability we are seeking would be P(X ≤ 2). To find this probability, one would need to add together the probabilities P(X=0), P(X=1), and P(X=2)

User Sayan Pathak
by
8.1k points