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The volume of the prism, in cubic units is V = 1/2*x³ + x²
The figure and options are in the figure attached
<h3>What is an Oblique Prism ?</h3>An oblique prism is a polyhedron figure , with a rectangular base and triangular side faces .
It is given that
The oblique prism below has an isosceles right triangle base.
In the figure attached, the oblique prism is shown.
The volume of the prism is given by
V = b*h
h is the height and b is the Area of the base
It is given that the base is an isosceles right triangle, its area is:
Area of a Triangle = (1/2) base * height
here the base and height is x
b = 1/2*x²
The height of the prism is (x + 2).
Then, the volume is:
V = 1/2*x²*(x + 2)
V = 1/2*x³ + x² cu. units
To know more about Oblique Prism
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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.