Continuous distributions

Practicing Statistics Interview Questions in R

Zuzanna Chmielewska

Actuary

Discrete vs continuous

Discrete uniform distribution

Continuous uniform distribution

Discrete vs continuous

Discrete uniform distribution

$k$	$P(X = k)$
$1$	$0.2$
$2$	$0.2$
$3$	$0.2$
$4$	$0.2$
$5$	$0.2$

Continuous uniform distribution

Discrete vs continuous

Discrete uniform distribution

$k$	$P(X = k)$
$1$	$0.2$
$2$	$0.2$
$3$	$0.2$
$4$	$0.2$
$5$	$0.2$

Continuous uniform distribution

$ P(X=k)=0 $

$[a, b]$	$P(a \le X < b)$
$[1, 2]$	$0.25$
$[2, 3]$	$0.25$
$[3, 4]$	$0.25$
$[4, 5]$	$0.25$

(for example)

Normal distribution

• bell-curve shape
• fundamental to
  • sampling
  • hypothesis testing
• 68-95-99.7 rule

rnorm(n)

dnorm(x)

pnorm(q)

hist(x)

Summary

• difference between discrete and continuous distributions
• density functions
• normal distribution (incl. 68-95-99.7 rule)
• probability functions in R
• histograms

Let's practice!

Practicing Statistics Interview Questions in R