Common denominator of 81 and 63
1 answer:
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I assume the first equation is supposed to be
and not
As an augmented matrix, this system is given by
Multiply through row 3 by 1/2:
Add -1(row 2) to row 3:
Multiply through row 3 by 1/5:
Add -2(row 3) to row 1, and add 3(row 3) to row 2:
Add -3(row 2) to row 1:
Multiply through row 1 by -1:
Add -2(row 1) to row 2:
Multipy through row 2 by -1:
The solution to the system is then
Answer:
(a) The probability that the members of the committee are chosen from all nationalities =0.1212.
(b)The probability that all nationalities except Italian are represent is 0.04848.
Step-by-step explanation:
Hypergeometric Distribution:
Let ,
,
and
be four given positive integers and let
.
A random variable X is said to have hypergeometric distribution with parameter ,
,
,
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,
=3,
=5 and
=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, 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.