New Zealand
Level 8 - NCEA Level 3

# Discrete Probability Density Functions

## Interactive practice questions

The probability function for a uniform discrete random variable is given below:

 $P$P$($($X=x$X=x$)$) $=$= $k$k; $x=1,2,3,4$x=1,2,3,4 $0$0, for all other values of $x$x
a

Determine the value of $k$k.

b

Calculate $P$P$($($X<3$X<3$)$).

c

Calculate $P$P$($($X\ge2$X2 $|$| $X<4$X<4$)$).

d

Determine $m$m such that $P$P$($($X\ge m$Xm$)=0.75$)=0.75.

Easy
Approx 4 minutes

The probability function for a discrete random variable is given by:

The probability function for a uniform discrete random variable is shown below.

The probability function for a discrete random variable is given below.

Determine the value of $k$k.

### Outcomes

#### S8-4

Investigate situations that involve elements of chance: A calculating probabilities of independent, combined, and conditional events B calculating and interpreting expected values and standard deviations of discrete random variables C applying distributions such as the Poisson, binomial, and normal

#### 91586

Apply probability distributions in solving problems