Answer:
(a) The probability that the members of the committee are chosen from all nationalities  =0.1212.
  =0.1212.
(b)The probability that all nationalities except Italian are represent is 0.04848.
Step-by-step explanation:
Hypergeometric Distribution:
Let  ,
,  ,
,  and
 and  be four given positive integers and let
 be four given positive integers and let  .
.
A random variable X is said to have hypergeometric distribution with parameter  ,
,  ,
,  ,
 ,  and n.
  and n.
The probability mass function

Here 

Given that, a foreign club is made of  2 Canadian  members, 3 Japanese  members, 5 Italian  members and 2 Germans  members.
  =2,
=2,  =3,
=3,  =5 and
 =5 and  =2.
=2.
A committee is made of 4 member.
N=4
(a) 
We need to find out the probability that the members of the committee are chosen from all nationalities.
 =1,
=1,  =1,
=1, =1 ,
=1 ,  =1, n=4
=1, n=4
The required probability is
 


=0.1212
(b)
Now we find out the probability that all nationalities except Italian.
So, we need to find out,






=0.04848
The probability that all nationalities except Italian are represent is 0.04848.