Question

The owners of a large pet store have determined that 65\ee, percent of their customers own dogs. They select 151515 customers at random to survey. Let DDD be the number of customers they survey who have dogs.What type of variable is DDD

Answer 1

Answer:

D is a binomial random variable with $p = 0.65, n = 15$

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they have dogs, or they do not. The probability of a customer having a dog is independent of any other customer. This means that D is a binomial random variable.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

65% of the customers have dogs:

This means that $p = 0.65$

15 customers:

This means that $n = 15$

What type of variable is D?

D is a binomial random variable with $p = 0.65, n = 15$