Answer:
The probability distribution is
X : 0 1 2
f(X) : 2/7 4/7 1/7
Step-by-step explanation:
Let x is the number of defective sets purchased by the hotel.
Total number of television sets = 7
Total number of defective television sets = 2
Since there are 2 defective television sets and hotel purchase 3 sets, So, X=0,1,2.
If X=0,
[tex]P(X=0)=\frac{^5C_3}{^7C_3}=\frac{10}{35}=\frac{2}{7}[/tex]
If X=1,
[tex]P(X=1)=\frac{^5C_2\cdot ^2C_1}{^7C_3}=\frac{10\cdot 2}{35}=\frac{4}{7}[/tex]
If X=2,
[tex]P(X=2)=\frac{^5C_1\cdot ^2C_2}{^7C_3}=\frac{5\cdot 1}{35}=\frac{1}{7}[/tex]
The probability distribution is
X : 0 1 2
f(X) : 2/7 4/7 1/7
The probability histogram is shown below.
