Question

Construct the discreet probability distribution for the random variable described express the probabilities as simple fractionsThe number of heads in four toss of a coin

Answer 1

Step-by-step explanation

In four tosses of a coin

The sample space is

There are 16 possible outcomes

The probability for the number of heads is given below

when x = 0

P(x) will be

`P(0)=(1)/(16)=0.0625`

when x =1 means when we have 1 head

`P(1)=(4)/(16)=(1)/(4)=0.25`

when x =2

`P(2)=(6)/(16)=0.375`

when x = 3

`P(3)=(4)/(16)=(1)/(4)=0.25`

When x =4

`P(4)=(1)/(16)=0.0625`