Question

The probability that a household owns a pet is 0. 55. Suppose there are 5 houses on a block. Assuming each household is independent. What is the probability that all five households will have pets?

Answer 1

If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.

Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.

We are required to calculate the probability that all the five households will have pets.

Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.

Binomial probability distribution is basically the probability calculations but in different combinations.

In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to $5C_{5}(0.55)^{5} (1-0.55)^{0}$

=1(0.0503)$(0.45)^{0}$

=1*0.0503*1

=0.0503

Hence the probability that all the five households will have pets is equal to 0.0503.

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