Dear friends, Please read our latest blog post for an important announcement about the website. ❤, The Socratic Team

# How do you determine the probability distribution of P(x>5)?

## The table: x ---- 4 ---- 5 ----- 6 ----- 7 ----- 8 P(x) ---0.1----0.1---0.2-----0.1----0.5

Then teach the underlying concepts
Don't copy without citing sources
preview
?

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

2
Steve M Share
Mar 6, 2017

$P \left(X > 5\right) = 0.8$

#### 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:

And then;

$P \left(X > 5\right) = P \left(X = 6 \mathmr{and} X = 7 \mathmr{and} X = 8\right)$
$\text{ } = P \left(X = 6\right) + P \left(X = 7\right) + P \left(X = 8\right)$
$\text{ } = 0.2 + 0.1 + 0.5$
$\text{ } = 0.8$

Alternatively:

$P \left(X > 5\right) = 1 - P \left(X \le 5\right)$
$\text{ } = 1 - P \left(X = 4 \mathmr{and} X = 5\right)$
$\text{ } = 1 - \left\{P \left(X = 4\right) + P \left(X = 5\right)\right\}$
$\text{ } = 1 - \left(0.1 + 0.1\right)$
$\text{ } = 0.8$, as before

• 19 minutes ago
• 23 minutes ago
• 24 minutes ago
• 27 minutes ago
• 42 seconds ago
• 2 minutes ago
• 8 minutes ago
• 9 minutes ago
• 12 minutes ago
• 17 minutes ago
• 19 minutes ago
• 23 minutes ago
• 24 minutes ago
• 27 minutes ago