Answer to Question #181707 in Statistics and Probability for Janrafael Morga

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

We want tofind out the number of defective cellphones that occur in test.After testing ofthe cell phones we can receive 4 types of result:

1)In the case 1 all cell phones are working. So we have 0 cell phones that don’t work and X has value 0. 

2)In the case 2 only one of the phones is broken and others are good. Then X has value 1.

 3)In the case 3 we have two broken cellphones and one working cellphone. So X has value 2.

4)In the case 4 all three cellphones are defective. has value 3.After analysis of all possible cases we receive that X may be equal to 0, 1, 2 or 3.

Distribution for X is :