Our department store is having a sale on personal computers, of which three are in stock (no rain checks). There is a certain probability of selling none. The probability of selling one is twice as great as the probability of selling none. The probability of selling two is three times the probability of selling none. Finally, the probability of selling all the personal computers is four times as great as the probability of selling none. Finally, the probability of selling all the personal computers is four times as great the probability of selling none. In a table list the outcomes and their probabilities.

Respuesta :

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Let the possibility including its sale will be x

Purchases possibility for [tex]1=2x[/tex]

Purchases possibility for [tex]2=3x[/tex]

Purchases possibility for [tex]3= 4x[/tex]

Calculating the total possibility [tex]=x+2x+3x+4x=10x[/tex]

The total possibility within the framework of the sample=1

[tex]\to 10x =1\\\\\to x = \frac{1}{10}\\\\\to x = 0.1 \\\\[/tex]

[tex]Outcome \ \ \ \ \ \ \ \ \ \ Probability\\\\0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.1\\\\1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.2\\\\2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.3\\\\3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.4\\[/tex]