Answer: 0.0039
Step-by-step explanation:
Given : Total televisions = 240
Defective televisions = 15
The proportion of defective sets : [tex]p=\dfrac{15}{240}=0.0625[/tex]
Number of televisions selected = 2
Using binomial probability formula :
[tex]P(x)=^nC_xp^x(1-p)^{n-x}[/tex]
The probability that they will both be defective :_
[tex]P(x=2)=^2C_2(0.0625)^2(1-0.0625)^0=(1)(0.0625)^2=0.00390625\approx0.0039[/tex]
Hence, the required probability =0.0039
