How do you determine the probability distribution of P(x>5)? \begin{array}{|c|c|}\hline x&4&5&6&7&8\\

Alaina Ortiz

Alaina Ortiz

Answered question

2022-02-13

How do you determine the probability distribution of P(x>5)?
x45678P(X=x)0.10.10.20.10.5

Answer & Explanation

Ashly Forbes

Ashly Forbes

Beginner2022-02-14Added 12 answers

Explanation:
The standard notation is to use a lower case letter to represent an actual event, and an upper case letter for the Random Variable used to measure the probability of the event occurring.
Thus the correct table would be:
x45678P(X=x)0.10.10.20.10.5
And then:
P(X>5)=P(X=6 or X=7 or X=8)
=P(X=6)+P(X=7)+P(X=8)
=0.2+0.1+0.5
=0.8
Alternatively:
P(X>5)=1P(X5)
=1P(X=4 or X=5)
=1{P(X=4)+P(X=5)}
=1(0.1+0.1)
=0.8 as before

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