In a valid probability distribution, each probability must be between 0 and 1, inclusive, and the probabilities must add up to 1

Question

Leya [2.2K]

2 years ago

15

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?

Mathematics

2 answers:

lora16 [44] · Answer 1 · 2022-03-12T18:28:28+03:00

The value of x is 1/5

Step-by-step explanation:

In a probability distribution, probability should be between 0 and 1. The probabilities add up to one.

Given probabilities are:

$\frac{1}{10}, \frac{1}{5}, \frac{1}{2}, x$

The sum of these probabilities will be equal to 1.

So,

To find x,

$\frac{1}{10}+\frac{1}{5}+\frac{1}{2}+x = 1\\\frac{1+2+5}{10}+x=1\\\frac{8}{10}+x=1\\x= 1- \frac{8}{10}\\x = 1- \frac{4}{5}\\x= \frac{5-4}{5}\\x=\frac{1}{5}$

The value of x is 1/5

Keywords: Probability, Distribution

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rusak2 [61] · Answer 2 · 2022-03-12T19:56:02+03:00

rusak2 [61]2 years ago

5 0

Answer:

1/10

Step-by-step explanation:

j took it