Hello- I was wondering if someone could help me out? I was wondering if I am correct on these questions?

(a) A sales person finds that in the long run one out of five sales calls are successful in the market he operates. Thirty sales calls are made every week. Let X denote the number of successful calls in a week. Is X a binomial random variable? Explain.

(b) A new treatment for baldness is known to be effective in 70% of the cases treated. Four bald members of the same family are treated. Let X denote the number of successfully treated members of the family. Is X a binomial random variable? Explain.

I said that both of these examples are random variables. I said it was because there was a fixed number, there are only 2 outcomes for each trial (success or failure), there is a constant probability of success, and the trials are independent of each other.

Four members of the same family. Do you think that would be independent? Or random?

Four members of the same family are not independent. Is that correct? So for (b), x is not a binomial random variable.

They're not independent at all. Baldness is a genetic trait. I would also have to assume that how well some treatment works would be the same. That's also not random.