Answer:
[tex]P(Dogs) = 0.2025[/tex]
Step-by-step explanation:
Given
[tex]Proportion, p = 45\%[/tex]
Required
Probability of two people having dog
First, we have to convert the given parameter to decimal
[tex]p = \frac{45}{100}[/tex]
[tex]p = 0.45[/tex]
Let P(Dogs) represent the required probability;
This is calculated as thus;
P(Dogs) = Probability of first person having a dog * Probability of second person having a dog
[tex]P(Dogs) = p * p[/tex]
[tex]P(Dogs) = 0.45 * 0.45[/tex]
[tex]P(Dogs) = 0.45^2[/tex]
[tex]P(Dogs) = 0.2025[/tex]
Hence, the probability of 2 people having a dog is [tex]P(Dogs) = 0.2025[/tex]
