Respuesta :
The sum of the probabilities of all events must always be 1. It doesn't even matter what these events are; by this I mean that the exercise could have only said "5 events have the following probability, what is the missing one?".
The only important thing is that we have to choose the missing probability in such a way that the sum of all 5 probabilities will be 1. Let's do this:
[tex] 0.105 + 0.255 + x + 0.301 + 0.214 = 1 \iff 0.875 + x = 1 \iff x = 1-0-875 = 0.125 [/tex]
So, the missing probability is 0.125
The missing probability of the given distribution will be 0.125.
What is probability?
The probability of an event occurring is defined by probability.
There are several instances in the everyday world where we may need to draw conclusions about how everything will turn out.
Probability is also known as chance because, if you flip a coin, the likelihood that it will land on its head or tail is nothing more than the chance that either the head or the tail will occur.
The sum of all probability of one experiment's events must be 1.
For example;
Rolling a dice,
Probability of occurring odd = 3/6 = 1/2
Probability of occurring even = 3/6 = 1/2
Sum of all probability = 1/2 + 1/2 = 1
Hence in the given distribution sum must be 1
So,
0.105 + 0.255 + x+ 0.301 + 0.214 = 1
x +0.875 = 1
x = 0.125.
Hence the missing probability will be 0.125.
For more information about the probability
brainly.com/question/11234923
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