Answer to Question #309632 in Statistics and Probability for Jonaisa

Question

Let D represent the defective cell phone and N represent the non defective cell phone. If we let X be the random variable representing the number of defective cell phones, can you show the values of the random variable X? Complete the table below to show to show the values of the random variable.

Answer 1

If three cell phones are tested there are four possible outcomes:

1. All three are working and none is defective and thus X is 0
2. One phone is defective and the other two are working and thus X is 1
3. Two phones are defective and only one is working and thus X is 2
4. All three phones are defective and thus X is 3

The probability distribution of X is thus:

$\def\arraystretch{1.5}\begin{array}{c:c}X&P(X)\\\hline0&P0\\\hline1&P1\\\hline2&P2\\\hline3&P3\\\hline\end{array}$