In a valid probability distribution, each probability must be between 0 and 1, inclusive, and the probabilities must add up to 1. If a probability distribution is 1/10, 1/5,1/2,x, what is the value of x?

Accepted Solution

The value of x is 1/5Step-by-step explanation:In a probability distribution, probability should be between 0  and 1. The probabilities add up to one.Given probabilities are:[tex]\frac{1}{10}, \frac{1}{5}, \frac{1}{2}, x[/tex]The sum of these probabilities will be equal to 1. So,To find x,[tex]\frac{1}{10}+\frac{1}{5}+\frac{1}{2}+x = 1\\\frac{1+2+5}{10}+x=1\\\frac{8}{10}+x=1\\x= 1- \frac{8}{10}\\x = 1- \frac{4}{5}\\x= \frac{5-4}{5}\\x=\frac{1}{5}[/tex]The value of x is 1/5Keywords: Probability, DistributionLearn more about probability at:brainly.com/question/2821386brainly.com/question/2860697#LearnwithBrainly